List of top Mathematics Questions on Matrices and Determinants asked in AP ECET CSE, AP ECET CE

If A = \(\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}\) and B = \(\begin{bmatrix} 1 & 0 \\ 1 & 0 \end{bmatrix}\), then \((AB)^T =\)

If A = \(\begin{bmatrix} x & 3 \\ 2 & 4 \end{bmatrix}\) and A\(^{-1}\) = \(\begin{bmatrix} -2 & 1.5 \\ 1 & -0.5 \end{bmatrix}\), then the value of x is

If the matrix A is of order 3x3 and the system of equations AX = B has a unique solution, what can be concluded about the determinant of A?

If A = \(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\) and the determinant of A is 5, then determinant of the matrix 2A is

If the matrix A = \(\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}\), then which of the following is true?