If $A=\left[\begin{array}{cc}1& -1\\ -1& 1\end{array}\right],$ then the expression $A^3-2A^2$ is

Important Questions on Matrices and Determinants

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>NDA & NA EE 2019 Paper 2 Mathematics>Q 14

If $A=\left[\begin{array}{cc}1& 2\\ 2& 3\\ 3& 4\end{array}\right]\begin{array}{}\\ \\ \end{array}$ and $B=\left[\begin{array}{cc}1& 2\\ 2& 1\end{array}\right],$ then which one of the following is correct?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>NDA & NA EE 2019 Paper 1 Mathematics>Q 15

If $B=\left[\begin{array}{lll}3& 2& 0\\ 2& 4& 0\\ 1& 1& 0\end{array}\right],$ then what is adjoint of $B$ equal to?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>NDA & NA EE 2019 Paper 1 Mathematics>Q 16

If $A=\left[\begin{array}{ll}0& 1\\ 1& 0\end{array}\right],$then the matrix $\mathrm{A}$ is a/an

MEDIUM

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>NDA & NA EE 2019 Paper 1 Mathematics>Q 17

If $\left|\begin{array}{ccc}x& -3i& 1\\ y& 1& i\\ 0& 2i& -i\end{array}\right|=6+11i$, then what are the values of $x$ and $y$ respectively?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>NDA & NA EE 2019 Paper 1 Mathematics>Q 18

If $A$ is an identity matrix of order $3$ then its inverse $\left(A^{-1}\right)$

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>NDA & NA EE 2019 Paper 1 Mathematics>Q 19

$A$ is a square matrix of order $3$ such that its determinant is $4.$ What is the determinant of its transpose?

EASY

NDA & NA EE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Matrices and Determinants>NDA & NA EE 2019 Paper 1 Mathematics>Q 20

If $A$ is a square matrix of order $n>1$, then which one of the following is correct?