Matrices
Showing all questions for Class 12 Math
Question 1:
If for a square matrix A, \(A^2 - 3A + I = O\) and \(A^{-1} = xA + yI\), then the value of \(x + y\) is:...
Question 2:
If \(A=\begin{bmatrix}3&4\\ 5&2\end{bmatrix}\) and \(2A+B\) is a null matrix, then B is equal to:...
Question 3:
If \(A = \begin{bmatrix}2&-3\\ 4&-2\end{bmatrix}\), then the inverse of A is:...
Question 4:
If A is a square matrix such that \(A^2 = A\), then A is:...
Question 5:
For two matrices A and B, given that \( A^{-1} = \frac{1}{4}B \), then the inverse of \( 4A \) is:...
Question 6:
If X, Y and XY are matrices of order \(2\times3\), \(m\times n\) and \(2\times5\) respectively, then number of elements in matrix Y is:...
Question 7:
If \( A = \begin{bmatrix}-1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{bmatrix} \), then \( A^{-1} \) is:...
Question 8:
Let \( A = \begin{bmatrix}1&-2&-1\\ 0&4&-1\\ -3&2&1\end{bmatrix} \), \( B = \begin{bmatrix}-2\\ -5\\ -7\end{bmatrix} \), \( C = [987] \). Which of the following is defined?...
Question 9:
If \( A = \begin{bmatrix}7 & 0 & x \\ 0 & 7 & 0 \\ 0 & 0 & y\end{bmatrix} \) is a scalar matrix, then \( y^x \) is equal to:...
Question 10:
If A and B are invertible matrices, then which of the following is not correct?...