List of top Mathematics Questions on Matrices and Determinants asked in AP ECET Agricultural Engg, AP ECET Chemical Engg

If $\begin{bmatrix}x+y & 2 \\ 1& x-y\end{bmatrix}=\begin{bmatrix}4& 2 \\ 1& 2\end{bmatrix}$, then the values of $x$ and $y$ are:}

Which of the following systems has non-trivial solution?

If $A$ is a square matrix of order 3 and $|A|=5$, then the value of $|2A^{T}|$ is

If $\begin{vmatrix}2x& 5 \\ 8 & x\end{vmatrix}=\begin{vmatrix}6 &-2 \\ 7& 3\end{vmatrix}$ then the value of $x$ is

In the matrix $A=\begin{bmatrix}1& 2& 3 \\ 4& 5 & 6 \\ 7& 4 & 9\end{bmatrix}$, the minor $M_{23}$ of the $a_{23}$ 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?

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

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

If the matrix \(A\) is of order \(3 \times 3\) 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