List of top Mathematics Questions on Matrices and Determinants asked in AP ECET Metallurgical Eng, AP ECET ECE

If $3A+4B^{T}=\begin{bmatrix}7&-10& 17\\ 0& 6& 31\end{bmatrix}$ and $2B-3A^{T}=\begin{bmatrix}-1& 18\\ 4&-6\\-5&-7\end{bmatrix}$ then $B=$

If A and B are 4x4 matrices such that $A^{2}+B=A^{2}B$ then which of the following is correct?

If A is a matrix of order 3x3 and $|adj(adj(adj A))|=12^{4}$, then the value of $|A^{-1} adj A| =$

If A is a 4x4 matrix and $|2A|=64$, $B=adj A$ then $|adj B| =$

For what value of $\lambda$ the system of equations $x+2y+\lambda z=0, x+2y+z=6, x+2y+3z=10$, has no solution.

If $A = \begin{bmatrix} 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{bmatrix}$ then $(A^{-1}) =$

If two rows (or columns) of a determinant of order 3 are identical then the value of determinant is

Order of the matrix $\begin{bmatrix} 1 & 6 \\ 2 & 0 \\ 7 & -1 \end{bmatrix}$ is

The Matrix $\begin{bmatrix} a & h & g \\ h & b & f \\ g & f & c \end{bmatrix}$ is

Co-factor of -4 in $\begin{vmatrix} 1 & 2 & 3 \\ -4 & 3 & 6 \\ 2 & -7 & 9 \end{vmatrix}$ is