CUET Mathematics PYQs

If $A = \begin{bmatrix} 1 & 2 & 3 \\ -4 & -5 & -2 \end{bmatrix}$, $B = \begin{bmatrix} 2 & -3 \\ 4 & -5 \\ 2 & -1 \end{bmatrix}$ and $BA = [b_{ij}]$, then $(b_{23} - b_{31})$ is equal to

Let $M_{ij}$ and $A_{ij}$ denote respectively minors and co-factors of the element in the ith row and jth column of the matrix $A = \begin{bmatrix} 1 & 2 & -1 \\ 3 & 2& 3 \\ 4 & -1 & 0 \end{bmatrix}$. Then

(A) $M_{23} = 6$

(B) $M_{23} = 9$

(C) $A_{32} = -6$

(D) $A_{33} = -9$

Choose the correct answer from the options given below:

The value of $\begin{vmatrix} 1 & bc & bc(b+c) \\ 1 & ca & ca(c+a) \\ 1 & ab & ab(a+b) \end{vmatrix}$ is