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Previous year question hub

Matrix Theory: - Statistics Previous Year Questions

Practice Matrix Theory: - Statistics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

8Papers
8Years
50Questions
1Topics

Matrix Theory: question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Matrix Theory:. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 34 68%
Easy 14 28%
Hard 2 4%

Question type distribution

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

MCQ 27 54%
Numerical Answer Type (NAT) 15 30%
MSQ 8 16%

Subject weightage

Top subjects by unique question coverage.

Statistics
50 Qs

Most asked topics

Top topics across the included previous year papers.

Matrix Theory:
50 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Eigenvalues, Diagonalization and Quadratic Forms
30 Qs
Vector Spaces and Matrix Operations
20 Qs

Paper coverage

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

Statistics (ST) 2026
7 Qs
Statistics (ST) 2025
7 Qs
Statistics (ST) 2024
7 Qs
Statistics (ST) 2023
7 Qs
Statistics (ST) 2022
6 Qs
Statistics (ST) 2021
6 Qs
Statistics (ST) 2020
4 Qs
Statistics (ST) 2019
6 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Eigenvalues, Diagonalization and Quadratic Forms

Explore previous-paper coverage, trends and focused practice for Eigenvalues, Diagonalization and Quadratic Forms.

30 questions8 papers8 years

Vector Spaces and Matrix Operations

Explore previous-paper coverage, trends and focused practice for Vector Spaces and Matrix Operations.

20 questions8 papers8 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Statistics (ST) 202620267View paper
Statistics (ST) 202520257View paper
Statistics (ST) 202420247View paper
Statistics (ST) 202320237View paper
Statistics (ST) 202220226View paper
Statistics (ST) 202120216View paper
Statistics (ST) 202020204View paper
Statistics (ST) 201920196View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2019 · Statistics · Matrix Theory: · Vector Spaces and Matrix Operations
Statistics (ST) 2019
The dimension of the vector space of \(7 \times 7\) real symmetric matrices with trace zero and the sum of the off-diagonal elements zero is
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2
2020 · Statistics · Matrix Theory: · Eigenvalues, Diagonalization and Quadratic Forms
Statistics (ST) 2020
Let \(M\) be a \(3 \times 3\) non-zero idempotent matrix and let \(I_3\) denote the \(3 \times 3\) identity matrix. Then which of the following statements is FALSE?
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3
2021 · Statistics · Matrix Theory: · Vector Spaces and Matrix Operations
Statistics (ST) 2021
Let $A = \begin{bmatrix} 0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \end{bmatrix}$ and $I_3$ be the $3 \times 3$ identity matrix. Then the nullity of $5A(I_3 + A + A^2)$ equals ________

Question diagram

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4
2022 · Statistics · Matrix Theory: · Eigenvalues, Diagonalization and Quadratic Forms
Statistics (ST) 2022
Let \( M \) be a \( 2 \times 2 \) real matrix such that \( (I + M)^{-1} = I - \alpha M \), where \( \alpha \) is a non-zero real number and \( I \) is the \( 2 \times 2 \) identity matrix. If the trace of the matrix \( M \) is 3, then the value of \( \alpha \) is
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5
2023 · Statistics · Matrix Theory: · Eigenvalues, Diagonalization and Quadratic Forms
Statistics (ST) 2023
Let \( A \) be a \( 3 \times 3 \) real matrix having eigenvalues \( 1, 0 \), and \( -1 \). If \( B = A^2 + 2A + I_3 \), where \( I_3 \) is the \( 3 \times 3 \) identity matrix, then which one of the following statements is true?
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6
2024 · Statistics · Matrix Theory: · Eigenvalues, Diagonalization and Quadratic Forms
Statistics (ST) 2024
Let \( A \) be a \( 3 \times 3 \) real matrix and let \( I_3 \) be the \( 3 \times 3 \) identity matrix. Which one of the following statements is NOT true?
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