CUET Mathematics - Let AX = B be a system of three linear equations in three variables. Then the system has (A) a unique solutions if |A| = 0 (B) a unique solutions if |A| ≠ 0 (C) no solutions if |A| = 0 and (adj A) B ≠ 0 (D) infinitely many solutions if |A| = 0 and (adj A)B = 0 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 1

Algebra

Medium

core

(A), (C) and (D) only

(B), (C) and (D) only

(B) only

(B) and (C) only

✅ Correct Option: 2

Related questions:

19 May Shift 1

If matrix $A = \begin{bmatrix} p & -3 \\ -4 & p \end{bmatrix}$ and $|A^3| = 64$ , then the value of p is:

3 June Shift 1

The value of k for which the system of equations

$x + y + z = 1$

$x - ky + z = 1$

$x - y + z = 1$

has more than one solutions is

14 May Shift 2

If A and B are two invertible matrices, then which of the following statements are correct?

(A) $|A^{-1}| = |A|^{-1}$

(B) $adjA = |A|A^{-1}$

(D) $(A + B)^{-1} = A^{-1} + B^{-1}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 14 May Shift 1 PYQs