CUET Mathematics - If A and B are square matrices of the same order, then (A+B) (A-B) is equal to | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Algebra

Medium

common

$A^2 - B^2$

$A^2 - B^2 + BA - AB$

$A^2 - BA - AB - B^2$

$B^2 + A^2 + AB - BA$

✅ Correct Option: 2

Related questions:

30 May Shift 1

If $A = \begin{bmatrix} a & 1 & -1 \\ 0 & b & 4 \\ 4 & 4 & c \end{bmatrix}$ and $abc = 12$ , $b = 4a$ , then the value of $|A(adjA)|$ is:

13 May Shift 2

Let $\begin{vmatrix} x & 2 \\ 18 & x \end{vmatrix} = \begin{vmatrix} -4 & -2 \\ -8 & -4 \end{vmatrix}$ . Then

(A) $x = -4$

(B) $x = -6$

(D) $x = 6$

Choose the correct answer from the options given below:

21 May Shift 2

Let A be any skew- symmetric matrix (where $A^T$ is Transpose of matrix A). Then which of the following statements are correct?

(A) $A^2$ is a symmetric matrix

(B) $A^2$ is a skew- symmetric matrix

(D) $A^T A - AA^T = O$

Choose the correct answer from the options given below:

CUET Mathematics 2025 13 May Shift 1 PYQs