CUET Mathematics - If A = bmatrix 3 & 2a \\ 1 & 5 bmatrix and B = bmatrix 2 & 3 \\ b & 5 bmatrix both are singular matrices, then a + b is equal to | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Algebra

Medium

applied

$\frac{6}{65}$

$\frac{67}{6}$

$\frac{65}{6}$

$\frac{1}{66}$

✅ Correct Option: 3

Related questions:

30 May Shift 2

If the system of equations

$x - 3y + 5z = 3$

$x - 2y + 4z = 4$

$2x - 7y + \lambda z = 5$

has infinite number of solutions, then the value of $\lambda$ is:

26 May Shift 2

If $A = \begin{bmatrix} x+z & 2 & -3 \\ x & 0 & 4 \\ 3 & x-y & 0 \end{bmatrix}$ is a skew-symmetric matrix, then which of the following are true?

(A) $y > z > x$

(B) $x > y$

(D) $z > x$

Choose the correct answer from the options given below:

3 June Shift 1

Which of the following statements are correct?

(A) Inverse of a matrix, if it exists, is unique

(B) $(kA)' = -kA'$ (where k is any real number)

(D) For an invertible matrix $A$ , $(A')^{-1} = (A^{-1})'$

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 2 PYQs