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Previous year question hub

Matrix Algebra - General Aptitude - General Aptitude (GA) Previous Year Questions

Practice Matrix Algebra - General Aptitude - General Aptitude (GA) previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

2Papers
2Years
5Questions
1Topics

Matrix Algebra question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 3 60%
Easy 2 40%

Question type distribution

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

Numerical Answer Type (NAT) 4 80%
MCQ 1 20%

Subject weightage

Top subjects by unique question coverage.

General Aptitude (GA)
5 Qs

Most asked topics

Top topics across the included previous year papers.

General Aptitude
5 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Matrix Algebra
5 Qs

Paper coverage

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

Mathematics (MA) 2020
1 Qs
Mathematics (MA) 2015
4 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Mathematics (MA) 20202020
1 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20152015
4 questions in this view		2015
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Matrix Algebra previous year questions

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

1
2015 · General Aptitude (GA) · General Aptitude · Matrix Algebra
Mathematics (MA) 2015
Let T : ℝ⁴ → ℝ⁴ be a linear map defined by
T(x, y, z, w) = (x + z, 2x + y + 3z, 2y + 2z, w).
Then the rank of T is equal to ______
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2
2015 · General Aptitude (GA) · General Aptitude · Matrix Algebra
Mathematics (MA) 2015
Let \(M\) be a \(3 \times 3\) matrix and suppose that \(1, 2\) and \(3\) are the eigenvalues of \(M\). If \(M^{-1} = \frac{M^2}{\alpha} - M + \frac{11}{\alpha} I_3\) for some scalar \(\alpha \neq 0\), then \(\alpha\) is equal to ________
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3
2015 · General Aptitude (GA) · General Aptitude · Matrix Algebra
Mathematics (MA) 2015
Let \(M\) be a \(3 \times 3\) singular matrix and suppose that \(2\) and \(3\) are eigenvalues of \(M\). Then the number of linearly independent eigenvectors of \(M^3 + 2M + I_3\) is equal to ________
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4
2015 · General Aptitude (GA) · General Aptitude · Matrix Algebra
Mathematics (MA) 2015
Let \(M\) be a \(3 \times 3\) matrix such that \(M \begin{pmatrix} -2 \\ 1 \\ 0 \end{pmatrix} = \begin{pmatrix} 6 \\ -3 \\ 0 \end{pmatrix}\) and suppose that \(M^3 \begin{pmatrix} 1 \\ -1/2 \\ 0 \end{pmatrix} = \begin{pmatrix} \alpha \\ \beta \\ \gamma \end{pmatrix}\) for some \(\alpha, \beta, \gamma \in \mathbb{R}\). Then \(|\alpha|\) is equal to ________
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5
2020 · General Aptitude (GA) · General Aptitude · Matrix Algebra
Mathematics (MA) 2020
For a matrix \(M = [m_{ij}]; \; i,j = 1,2,3,4\), the diagonal elements are all zero and \(m_{ij} = -m_{ji}\). The minimum number of elements required to fully specify the matrix is _____
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