If A = bmatrix -2 & 6 \\ -5 & -1 bmatrix then A^-1 is : Option 1: 1/28bmatrix 2 & -5 \\ 6 & -1 bmatrix Option 2: 1/32bmatrix -1 & 6 \\ -5 & -2 bmatrix Option 3: 1/32bmatrix -1 & -6 \\ 5 & -2 bmatrix Option 4: -1/28bmatrix -1 & -6 \\ -5 & -2 bmatrix

The answer is '1/32bmatrix -1 & -6 \\ 5 & -2 bmatrix'. View full solution:

CUET Mathematics - If A = bmatrix -2 & 6 \\ -5 & -1 bmatrix then A^-1 is : | PYQs + Solutions

CUET Mathematics 2023 15 June Shift 2

Algebra

Easy

$\frac{1}{28}\begin{bmatrix} 2 & -5 \\ 6 & -1 \end{bmatrix}$

$\frac{1}{32}\begin{bmatrix} -1 & 6 \\ -5 & -2 \end{bmatrix}$

$\frac{1}{32}\begin{bmatrix} -1 & -6 \\ 5 & -2 \end{bmatrix}$

$\frac{-1}{28}\begin{bmatrix} -1 & -6 \\ -5 & -2 \end{bmatrix}$

✅ Correct Option: 3

Related questions:

14 May Shift 1

Match List-I with List-II

List-I	List-II
(Matrix)	(Inverse of the Matrix)
(A) $\begin{pmatrix} 1 & 7 \\ 4 & -2 \end{pmatrix}$	(I) $\begin{pmatrix} 2/15 & 1/10 \\ -1/15 & 1/5 \end{pmatrix}$
(B) $\begin{pmatrix} 6 & -3 \\ 2 & 4 \end{pmatrix}$	(II) $\begin{pmatrix} 1/5 & -2/15 \\ -1/10 & 7/30 \end{pmatrix}$
(C) $\begin{pmatrix} 5 & 2 \\ -5 & 4 \end{pmatrix}$	(III) $\begin{pmatrix} 1/15 & 7/30 \\ 2/15 & -1/30 \end{pmatrix}$
(D) $\begin{pmatrix} 7 & 4 \\ 3 & 6 \end{pmatrix}$	(IV) $\begin{pmatrix} 2/15 & -1/15 \\ 1/6 & 1/6 \end{pmatrix}$

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:

29 May Shift 2

The inverse of the matrix $\begin{bmatrix} 4 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 6 \end{bmatrix}$ is