CUET Mathematics - Let the matrix A = bmatrix 2 & 3 \\ 1 & 4 bmatrix. Then which of the following are true? (A) adj A = bmatrix 4 & -3 \\ -1 & 2 bmatrix (B) det (A) = 5 (C) det (adjA) = 25 (D) If A^3 = bmatrix a & b \\ c & d bmatrix, then a + b = c + d Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 1

Algebra

Medium

core

(A) and (D) only

(A), (B) and (C) only

(B) and (D) only

(A), (B) and (D) only

✅ Correct Option: 4

Related questions:

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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) $M_{23} = 9$

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

Choose the correct answer from the options given below:

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If A is a square matrix of order 3 and |A| = -5, then |3A| is equal to

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If $x, y$ and $z$ are real number such that $x + y + z = 0$ , then value of $\begin{vmatrix}3x & -x+y & -x+z\\x-y & 3y & z-y\\x-z & y-z & 3z\end{vmatrix}$ is

CUET Mathematics 2025 21 May Shift 1 PYQs

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