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Previous year question hub

Matrices And Determinants - Algebra - Mathematics Previous Year Questions

Practice Matrices And Determinants - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

60Papers
7Years
90Questions
1Topics

Matrices And Determinants question pattern

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Not classified 90 100%

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Multiple Choices 90 100%

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Mathematics
90 Qs

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Algebra
90 Qs

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Matrices And Determinants
90 Qs

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MHT CET 2025 5TH MAY EVENING SHIFT
2 Qs
MHT CET 2025 19TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 19TH APRIL MORNING SHIFT
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MHT CET 2025 20TH APRIL EVENING SHIFT
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MHT CET 2025 20TH APRIL MORNING SHIFT
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MHT CET 2025 21ST APRIL EVENING SHIFT
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MHT CET 2025 21ST APRIL MORNING SHIFT
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MHT CET 2025 22ND APRIL EVENING SHIFT
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MHT CET 2025 22ND APRIL MORNING SHIFT
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MHT CET 2025 23RD APRIL EVENING SHIFT
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MHT CET 2025 23RD APRIL MORNING SHIFT
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MHT CET 2025 25TH APRIL EVENING SHIFT
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MHT CET 2025 25TH APRIL MORNING SHIFT
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MHT CET 2025 26TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
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MHT CET 2024 10TH MAY EVENING SHIFT
2 Qs
MHT CET 2024 16TH MAY EVENING SHIFT
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MHT CET 2024 10TH MAY MORNING SHIFT
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MHT CET 2024 11TH MAY EVENING SHIFT
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MHT CET 2024 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
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MHT CET 2024 2ND MAY EVENING SHIFT
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MHT CET 2024 2ND MAY MORNING SHIFT
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MHT CET 2024 3RD MAY EVENING SHIFT
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MHT CET 2024 3RD MAY MORNING SHIFT
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MHT CET 2024 4TH MAY EVENING SHIFT
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MHT CET 2024 4TH MAY MORNING SHIFT
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MHT CET 2024 9TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 9TH MAY MORNING SHIFT
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MHT CET 2023 11TH MAY MORNING SHIFT
2 Qs
MHT CET 2023 9TH MAY EVENING SHIFT
2 Qs
MHT CET 2023 10TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
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MHT CET 2023 11TH MAY EVENING SHIFT
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MHT CET 2023 12TH MAY EVENING SHIFT
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MHT CET 2023 12TH MAY MORNING SHIFT
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MHT CET 2023 13TH MAY EVENING SHIFT
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MHT CET 2023 13TH MAY MORNING SHIFT
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MHT CET 2023 14TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
1 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
2 Qs
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
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MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
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MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2021 23th September Morning Shift
3 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
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MHT CET 2020 16TH OCTOBER EVENING SHIFT
2 Qs
MHT CET 2020 16TH OCTOBER MORNING SHIFT
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MHT CET 2020 19TH OCTOBER EVENING SHIFT
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MHT CET 2019 2ND MAY EVENING SHIFT
2 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
2 Qs
MHT CET 2019 3RD MAY MORNING SHIFT
1 Qs

Included previous year papers

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PaperYear / sessionQuestions in this viewOpen
MHT CET 2025 19TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 19TH APRIL MORNING SHIFT20251View paper
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MHT CET 2025 22ND APRIL EVENING SHIFT20251View paper
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MHT CET 2025 5TH MAY EVENING SHIFT20252View paper
MHT CET 2024 10TH MAY EVENING SHIFT20242View paper
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MHT CET 2024 11TH MAY EVENING SHIFT20241View paper
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MHT CET 2024 15TH MAY EVENING SHIFT20241View paper
MHT CET 2024 15TH MAY MORNING SHIFT20241View paper
MHT CET 2024 16TH MAY EVENING SHIFT20242View paper
MHT CET 2024 16TH MAY MORNING SHIFT20241View paper
MHT CET 2024 2ND MAY EVENING SHIFT20241View paper
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MHT CET 2024 3RD MAY EVENING SHIFT20241View paper
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MHT CET 2024 9TH MAY EVENING SHIFT20241View paper
MHT CET 2024 9TH MAY MORNING SHIFT20241View paper
MHT CET 2023 10TH MAY EVENING SHIFT20231View paper
MHT CET 2023 10TH MAY MORNING SHIFT20231View paper
MHT CET 2023 11TH MAY EVENING SHIFT20231View paper
MHT CET 2023 11TH MAY MORNING SHIFT20232View paper
MHT CET 2023 12TH MAY EVENING SHIFT20231View paper
MHT CET 2023 12TH MAY MORNING SHIFT20231View paper
MHT CET 2023 13TH MAY EVENING SHIFT20231View paper
MHT CET 2023 13TH MAY MORNING SHIFT20231View paper
MHT CET 2023 14TH MAY EVENING SHIFT20231View paper
MHT CET 2023 14TH MAY MORNING SHIFT20231View paper
MHT CET 2023 9TH MAY EVENING SHIFT20232View paper
MHT CET 2023 9TH MAY MORNING SHIFT20231View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20222View paper
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20212View paper
MHT CET 2021 23th September Morning Shift20213View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2020 16TH OCTOBER EVENING SHIFT20202View paper
MHT CET 2020 16TH OCTOBER MORNING SHIFT20202View paper
MHT CET 2020 19TH OCTOBER EVENING SHIFT20202View paper
MHT CET 2019 2ND MAY EVENING SHIFT20192View paper
MHT CET 2019 2ND MAY MORNING SHIFT20192View paper
MHT CET 2019 3RD MAY MORNING SHIFT20191View paper

All Matrices And Determinants previous year questions

Practice every matching question in batches of 20, with every available option.

1
2019 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2019 2ND MAY EVENING SHIFT

If $A$ is non-singular matrix and $(A+I)(A-I)=0$ then $A+A^{-1}=$ .............

A
2A
B
0
C
I
D
3I
Open complete paper
2
2019 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2019 2ND MAY EVENING SHIFT

If $A=\left[\begin{array}{cc}1+2 i & i \\ -i & 1-2 i\end{array}\right]$, where $i=\sqrt{-1}$, then $A(\operatorname{adj} A)=\ldots$

A
$-2I$
B
$2I$
C
$5I$
D
$4I$
Open complete paper
3
2019 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2019 2ND MAY MORNING SHIFT

If $A$ is non-singular matrix such that $(A-2 l)(A-4 I)=0$ then $A+8 A^{-1}=$ ..........

A
I
B
0
C
3I
D
6I
Open complete paper
4
2019 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2019 2ND MAY MORNING SHIFT

If $A=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right]$ and $A=A^{-1}$, then $x=\ldots \ldots$

A
0
B
4
C
2
D
1
Open complete paper
5
2019 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2019 3RD MAY MORNING SHIFT

If $A$ and $B$ are square matrices of order 3 such that $|A|=2,|B|=4$, then $|A(\operatorname{adj} B)|=\ldots$

A
16
B
8
C
64
D
32
Open complete paper
6
2020 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The matrix \(A=\left[\begin{array}{rrr}a & -1 & 4 \\ -3 & 0 & 1 \\ -1 & 1 & 2\end{array}\right]\) is not invertible only if \(a=\)

A
17
B
\(-\)16
C
\(-\)17
D
16
Open complete paper
7
2020 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2020 16TH OCTOBER EVENING SHIFT

If \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right], \quad B=\left[\begin{array}{ll}1 & 0 \\ 3 & 1\end{array}\right]\), then \(B^{-1} A^{-1}=\)

A
\(\left[\begin{array}{rr}-2 & -3 \\ -7 & 11\end{array}\right]\)
B
\(\left[\begin{array}{rr}2 & -3 \\ -7 & 11\end{array}\right]\)
C
\(\left[\begin{array}{rr}2 & 3 \\ 7 & 11\end{array}\right]\)
D
\(\left[\begin{array}{cc}-2 & -3 \\ -7 & -11\end{array}\right]\)
Open complete paper
8
2020 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The sum of the cofactors of the elements of second row of the matrix \(\left[\begin{array}{rrr}1 & 3 & 2 \\ -2 & 0 & 1 \\ 5 & 2 & 1\end{array}\right]\) is

A
5
B
\(-\)23
C
3
D
23
Open complete paper
9
2020 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2020 16TH OCTOBER MORNING SHIFT

If \(A=\left[\begin{array}{rrr}2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3\end{array}\right]\) and \(A^{-1}=\left[\begin{array}{rrr}3 & -1 & 1 \\ \alpha & 6 & -5 \\ \beta & -2 & 2\end{array}\right]\), then the values of \(\alpha\) and \(\beta\) are, respectively.

A
\(-15,-5\)
B
\(-15,5\)
C
\(15,-5\)
D
\(15,5\)
Open complete paper
10
2020 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2020 19TH OCTOBER EVENING SHIFT

The cofactors of the elements of the first column of the matrix $A=\left[\begin{array}{ccc}2 & 0 & -1 \\ 3 & 1 & 2 \\ -1 & 1 & 2\end{array}\right]$ are

A
$0,-7,2$
B
$-1,3,-2$
C
$0,-8,4$
D
$0,-1,1$
Open complete paper
11
2020 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2020 19TH OCTOBER EVENING SHIFT

If $A=\left[\begin{array}{ll}4 & 5 \\ 2 & 1\end{array}\right]$ and $A^2-5 A-6 I=0$, then $A^{-1}=$

A
$\frac{1}{6}\left[\begin{array}{cc}-1 & 5 \\ -2 & -4\end{array}\right]$.
B
$\frac{1}{6}\left[\begin{array}{cc}-1 & 5 \\ 2 & 4\end{array}\right]$
C
$\frac{1}{6}\left[\begin{array}{cc}-1 & 5 \\ 2 & -4\end{array}\right]$
D
$\frac{1}{6}\left[\begin{array}{cc}1 & 5 \\ 2 & -4\end{array}\right]$
Open complete paper
12
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

If \(A^{-1}=\left[\begin{array}{lll}3 & 2 & 6 \\ 1 & 1 & 2 \\ 2 & 5 & 5\end{array}\right]\), then \(A=\)

A
\(\left[\begin{array}{ccc}-5 & 20 & -2 \\ -1 & 3 & 0 \\ 3 & -11 & 1\end{array}\right]\)
B
\(\left[\begin{array}{ccc}-5 & 20 & 2 \\ -1 & 3 & 0 \\ 3 & 11 & 1\end{array}\right]\)
C
\(\left[\begin{array}{ccc}-5 & 20 & 2 \\ 1 & 3 & 0 \\ 3 & 11 & -1\end{array}\right]\)
D
\(\left[\begin{array}{ccc}-5 & 20 & -2 \\ 1 & 3 & 0 \\ 3 & 11 & 1\end{array}\right]\)
Open complete paper
13
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

If \(A^{-1}=\left[\begin{array}{cc}2 & -3 \\ -1 & 2\end{array}\right]\) and \(B^{-1}=\left[\begin{array}{cc}1 & 0 \\ -3 & 1\end{array}\right]\), then \((A B)^{-1}=\)

A
\(\left[\begin{array}{cc}2 & 7 \\ 3 & -1\end{array}\right]\)
B
\(\left[\begin{array}{cc}2 & -7 \\ -3 & 11\end{array}\right]\)
C
\(\left[\begin{array}{cc}2 & -3 \\ -7 & 11\end{array}\right]\)
D
\(\left[\begin{array}{cc}2 & 3 \\ 7 & -11\end{array}\right]\)
Open complete paper
14
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

The co-factors of the elements of second column of \(\left[\begin{array}{ccc}1 & -1 & 2 \\ 3 & 2 & 1 \\ -1 & 3 & 4\end{array}\right]\) are

A
\(-13,6,5\)
B
\(13,5,6\)
C
\(13,-6,-5\)
D
\(-13,-6,5\)
Open complete paper
15
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT

If inverse of \(\left[\begin{array}{ccc}1 & 2 & x \\ 4 & -1 & 7 \\ 2 & 4 & -6\end{array}\right]\) does not exist, then \(x=\)

A
\(-\)3
B
2
C
3
D
0
Open complete paper
16
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT

If \(A = \left[ {\matrix{ 3 & 2 & 4 \cr 1 & 2 & 1 \cr 3 & 2 & 6 \cr } } \right]\) and A\(_{ij}\) are cofactors of the elements a\(_{ij}\) of A, then \({a_{11}}{A_{11}} + {a_{12}}{A_{12}} + {a_{13}}{A_{13}}\) is equal to

A
8
B
6
C
4
D
0
Open complete paper
17
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT

\(A(\propto)=\left[\begin{array}{cc}\cos \propto & \sin \propto \\ -\sin \propto & \cos \propto\end{array}\right]\), then \(\left[A^2(\propto)\right]^{-1}=\)

A
\(\mathrm{A}(\propto)\)
B
\(\mathrm{A}^2(\propto)\)
C
\(\mathrm{A}(-2 \propto)\)
D
\(\mathrm{A}(2 \propto)\)
Open complete paper
18
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT

If \(A=\left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & a & 1\end{array}\right]\) and \(A^{-1}=\frac{1}{2}\left[\begin{array}{ccc}1 & -1 & 1 \\ -8 & 6 & 2 c \\ 5 & -3 & 1\end{array}\right]\), then values of a and c are respectively

A
\(\frac{1}{2}, \frac{1}{2}\)
B
\(-1,1\)
C
\(2, \frac{-1}{2}\)
D
\(1,-1\)
Open complete paper
19
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT

If \(A=\left[\begin{array}{ccc}\cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\right]\), then \(\operatorname{adj} A=\)

A
\(\left[\begin{array}{ccc}-\cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\right]\)
B
\(\left[\begin{array}{ccc}\cos \theta & \sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\right]\)
C
\(\left[\begin{array}{ccc}\cos \theta & \sin \theta & 0 \\ -\sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\right]\)
D
\(\left[\begin{array}{ccc}\cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\right]\)
Open complete paper
20
2021 · Mathematics · Algebra · Matrices And Determinants
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT

If \(A=\left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right]\), then \(A^{-1}=\)

A
\(\left(\frac{1}{2}\right)\left[\begin{array}{lll}0 & 1 & 2 \\ 3 & 2 & 1 \\ 4 & 2 & 3\end{array}\right]\)
B
\(\left[\begin{array}{ccc}\frac{1}{2} & \frac{-1}{2} & \frac{1}{2} \\ -4 & 3 & -1 \\ \frac{5}{2} & \frac{-3}{2} & \frac{1}{2}\end{array}\right]\)
C
\(\left[\begin{array}{ccc}\frac{1}{2} & -1 & \frac{5}{2} \\ 1 & -6 & 3 \\ 1 & 2 & -1\end{array}\right]\)
D
\(\left(\frac{1}{2}\right)\left[\begin{array}{ccc}1 & -1 & -1 \\ -8 & 6 & -2 \\ 5 & -3 & 1\end{array}\right]\)
Open complete paper

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