Matrices and Determinants PYQs - Last 10 Years
KCET / Mathematics / Algebra / 65 recent questions
MathematicsAlgebra2017-2026
Practice 65 KCET Mathematics questions from Matrices and Determinants. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
65
PYQs on Page
Mathematics / Algebra
2017-2026
Year Range
Based on indexed question metadata
35
Last 5 Years
2022-2026
65
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
20219 max PYQs/year2026
Question Types
65PYQs
MCQ100%
Difficulty Mix
#1 Unknown65
35 in last 5 years65 in last 10 years
Last 10 Years Matrices and Determinants Questions
Showing 15 of 65 filtered questions.
1Matrices And Determinants
If \(P\) and \(Q\) are symmetric matrices of the same order then \(P Q-Q P\) is
MCQ+1 / -02019
2Matrices And Determinants
The inverse of the matrix $$\left[\begin{array}{ccc}2 & 5 & 0 \\ 0 & 1 & 1 \\ -1 & 0 & 3\end{array}\right]$$ is
MCQ+1 / -02019
3Matrices And Determinants
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
MCQ+1 / -02018
4Matrices And Determinants
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
MCQ+1 / -02018
5Matrices And Determinants
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...
MCQ+1 / -02018
6Matrices And Determinants
If $A=\left[\begin{array}{cc}\cos \alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha\end{array}\right]$, then $A A^{\prime}$ is equal to
MCQ+1 / -02018
7Matrices And Determinants
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...
MCQ+1 / -02018
8Matrices And Determinants
Let $A$ be a square matrix of order $3 \times 3$, then $|5 A|$ is equal to
MCQ+1 / -02018
9Matrices And Determinants
If $A=\left[\begin{array}{cc}2 & -2 \\ -2 & 2\end{array}\right]$, then $A^n=2^k A$, where $k$ is equal to
MCQ+1 / -02018
10Matrices And Determinants
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
MCQ+1 / -02017
11Matrices And Determinants
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}\lef...
$B=\left|\begin{array}{cc}-\cos ^{-1}(\pi x) & \tan ^{-1}\lef...
MCQ+1 / -02017
12Matrices And Determinants
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
MCQ+1 / -02017
13Matrices And Determinants
If $A$ is a square matrix of order $3 \times 3$, then $|K A|$ is equal to
MCQ+1 / -02017
14Matrices And Determinants
$$
\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{ar...
\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{ar...
MCQ+1 / -02017
15Matrices And Determinants
If a matrix $A$ is both symmetric and skew symmetric, then
MCQ+1 / -02017