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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.

9Papers
9Years
56Questions
1Topics

Matrices And Determinants question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Matrices And Determinants. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 56 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 56 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
56 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
56 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Matrices And Determinants
56 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

KCET 2025
8 Qs
KCET 2024
5 Qs
KCET 2023
6 Qs
KCET 2022
7 Qs
KCET 2021
5 Qs
KCET 2020
6 Qs
KCET 2019
6 Qs
KCET 2018
7 Qs
KCET 2017
6 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
KCET 202520258View paper
KCET 202420245View paper
KCET 202320236View paper
KCET 202220227View paper
KCET 202120215View paper
KCET 202020206View paper
KCET 201920196View paper
KCET 201820187View paper
KCET 201720176View paper

All Matrices And Determinants previous year questions

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

1
2017 · Mathematics · Algebra · Matrices And Determinants
KCET 2017

If $A=\frac{1}{\pi}\left|\begin{array}{ll}\sin ^{-1}(\pi x) & \tan ^{-1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & \cot ^{-1}(\pi x)\end{array}\right|$

$B=\left|\begin{array}{cc}-\cos ^{-1}(\pi x) & \tan ^{-1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & -\tan ^{-1}(\pi x)\end{array}\right|$,

then $A-B$ is :

A
0
B
$\frac{1}{2}$ I
C
$/$
D
$2!$
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2
2017 · Mathematics · Algebra · Matrices And Determinants
KCET 2017
If $A$ is a square matrix of order $3 \times 3$, then $|K A|$ is equal to
A
$K^2|A|$
B
$K|A|$
C
$3 K|A|$
D
$K^3|A|$
Open complete paper
3
2017 · Mathematics · Algebra · Matrices And Determinants
KCET 2017
If $\left|\begin{array}{ll}3 & x \\ x & 1\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & 1\end{array}\right|$, then $x$ is equal to
A
4
B
8
C
2
D
$\pm 2 \sqrt{2}$
Open complete paper
4
2017 · Mathematics · Algebra · Matrices And Determinants
KCET 2017
$$\text { } \begin{aligned} Let\,\,\,\Delta & =\left|\begin{array}{lll} A x & x^2 & 1 \\ B y & y^2 & 1 \\ C z & z^2 & 1 \[\end{array}\right| \text { and }\] \[\Delta_1 =\left|\begin{array}{ccc}\] A & B & C \\ x & y & z \\ z y & z x & x y \[\end{array}\right| \text {, then }\left|\begin{array}{ccc}\] A x & B y & C y \\ x^2 & y^2 & z^2 \\ 1 & 1 & 1 \[\end{array}\right|\] \end{aligned}$$
A
$\Delta_1=2 \Delta$
B
$\Delta_1=-\Delta$
C
$\Delta_1=\Delta$
D
$\Delta_1 \neq \Delta$
Open complete paper
5
2017 · Mathematics · Algebra · Matrices And Determinants
KCET 2017
If $2\left|\begin{array}{ll}1 & 3 \\ 0 & x\end{array}\right|+\left|\begin{array}{ll}y & 0 \\ 1 & 2\end{array}\right|=\left|\begin{array}{ll}5 & 6 \\ 1 & 8\end{array}\right|$, then the value of $x$ and $y$ are
A
$x=3, y=3$
B
$x=-3, y=3$
C
$x=3, y=-3$
D
$x=-3, y=-3$
Open complete paper
6
2017 · Mathematics · Algebra · Matrices And Determinants
KCET 2017
If a matrix $A$ is both symmetric and skew symmetric, then
A
$A$ is diagonal matrix
B
$A$ is a zero matrix
C
$A$ is scalar matrix
D
$A$ is square matiox
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7
2018 · Mathematics · Algebra · Matrices And Determinants
KCET 2018
If $\left[\begin{array}{cc}1 & 1 \\ -1 & 1\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}2 \\ 4\end{array}\right]$, then the values of $x$ and $y$ respectively are
A
$-3,-1$
B
1,3
C
3,1
D
$-1,3$
Open complete paper
8
2018 · Mathematics · Algebra · Matrices And Determinants
KCET 2018
If $\left(x_1, y_1\right),\left(x_2, y_2\right)$ and $\left(x_3, y_3\right)$ are the vertices of a triangle whose are is ' $k$ ' square units, then $\left|\begin{array}{lll}x_1 & y_1 & 4 \\ x_2 & y_2 & 4 \\ x_3 & y_3 & 4\end{array}\right|^2$ is
A
$32 k^2$
B
$16 k^2$
C
$64 k^2$
D
$48 k^2$
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9
2018 · Mathematics · Algebra · Matrices And Determinants
KCET 2018
If $A=\left[\begin{array}{cc}2 & -2 \\ -2 & 2\end{array}\right]$, then $A^n=2^k A$, where $k$ is equal to
A
$2^{n-1}$
B
$n+1$
C
$n-1$
D
$2(n-1)$
Open complete paper
10
2018 · Mathematics · Algebra · Matrices And Determinants
KCET 2018
If $A=\left[\begin{array}{cc}\cos \alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha\end{array}\right]$, then $A A^{\prime}$ is equal to
A
$A$
B
zero matrix
C
$A^{\prime}$
D
1
Open complete paper
11
2018 · Mathematics · Algebra · Matrices And Determinants
KCET 2018
Let $A$ be a square matrix of order $3 \times 3$, then $|5 A|$ is equal to
A
$5|A|$
B
$125|\mathrm{~A}|$
C
$25|\mathrm{~A}|$
D
$15|\mathrm{~A}|$
Open complete paper
12
2018 · Mathematics · Algebra · Matrices And Determinants
KCET 2018
The value of determinant $\left|\begin{array}{lll}a-b & b+c & a \\ b-a & c+a & b \\ c-a & a+b & c\end{array}\right|$ is
A
$a^3+b^3+c^3$
B
$(a+b+c) \left[ 2a^2 - ac - ab - bc + b^2 \right] $
C
$a^3+b^3+c^3-3 a b c$
D
$a^3+b^3+c^3+3 a b c$
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13
2018 · Mathematics · Algebra · Matrices And Determinants
KCET 2018
If $x, y, z \in R$, then the value of determinant $\left|\begin{array}{lll}\left(5^x+5^{-x}\right)^2 & \left(5^x-5^{-x}\right)^2 & 1 \\ \left(6^x+6^{-x}\right)^2 & \left(6^x-6^{-x}\right)^2 & 1 \\ \left(7^x+7^{-x}\right)^2 & \left(7^x-7^{-x}\right)^2 & 1\end{array}\right|$ is
A
10
B
12
C
1
D
0
Open complete paper
14
2019 · Mathematics · Algebra · Matrices And Determinants
KCET 2019

If \(A=\left[\begin{array}{ll}1 & 3 \\ 4 & 2\end{array}\right], B=\left[\begin{array}{cc}2 & -1 \\ -1 & 2\end{array}\right]\), Then \(\left|A B B^{\prime}\right|=\)

A
100
B
50
C
250
D
\(-\)250
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15
2019 · Mathematics · Algebra · Matrices And Determinants
KCET 2019

If the value of a third order determinant is 16, then the value of the determinant formed by replacing each of its elements by its cofactor is

A
256
B
96
C
16
D
48
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16
2019 · Mathematics · Algebra · Matrices And Determinants
KCET 2019

If \(3 A+4 B^{\prime}=\left[\begin{array}{ccc}7 & -10 & 17 \\ 0 & 6 & 31\end{array}\right]\) and \(2 B+3 A^{\prime}\left[\begin{array}{cc}-1 & 18 \\ 4 & 0 \\ -5 & -7\end{array}\right]\) then \(B=\)

A
\(\left[\begin{array}{cc}-1 & -18 \\ 4 & -16 \\ -5 & -7\end{array}\right]\)
B
\(\left[\begin{array}{cc}1 & 3 \\ -1 & 1 \\ 2 & 4\end{array}\right]\)
C
\(\left[\begin{array}{cc}1 & 3 \\ -1 & 1 \\ 2 & -4\end{array}\right]\)
D
\(\left[\begin{array}{cc}1 & -3 \\ -1 & 1 \\ 2 & 4\end{array}\right]\)
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17
2019 · Mathematics · Algebra · Matrices And Determinants
KCET 2019

If \(P\) and \(Q\) are symmetric matrices of the same order then \(P Q-Q P\) is

A
zero matrix
B
identity matrix
C
skew-symmetric matrix
D
symmetric matrix
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18
2019 · Mathematics · Algebra · Matrices And Determinants
KCET 2019

The constant term in the expansion of \(\left|\begin{array}{ccc}3 x+1 & 2 x-1 & x+2 \\ 5 x-1 & 3 x+2 & x+1 \\ 7 x-2 & 3 x+1 & 4 x-1\end{array}\right|\) is

A
\(-\)10
B
0
C
6
D
2
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19
2019 · Mathematics · Algebra · Matrices And Determinants
KCET 2019

The inverse of the matrix \(\left[\begin{array}{ccc}2 & 5 & 0 \\ 0 & 1 & 1 \\ -1 & 0 & 3\end{array}\right]\) is

A
\(\left[\begin{array}{ccc}3 & -15 & 5 \\ -1 & 6 & -2 \\ 1 & -5 & 2\end{array}\right]\)
B
\(\left[\begin{array}{ccc}3 & -1 & 1 \\ -15 & 6 & -5 \\ 5 & -2 & 2\end{array}\right]\)
C
\(\left[\begin{array}{ccc}3 & -15 & 5 \\ -1 & 6 & -2 \\ 1 & -5 & -2\end{array}\right]\)
D
\(\left[\begin{array}{ccc}3 & -5 & 5 \\ -1 & -6 & -2 \\ 1 & -5 & 2\end{array}\right]\)
Open complete paper
20
2020 · Mathematics · Algebra · Matrices And Determinants
KCET 2020

If \(A=\left(\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0\end{array}\right)\) then \(A^4\) is equal to

A
A
B
2A
C
I
D
4A
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Showing 20 of 56 questions