Let A = (a_ij) and B = (b_ij) are square matrices of same order. (A) The number of possible matrices of order 2 x 2 with entries -1, 0, 1 is 81. (B) A + A' is skew symmetric matrix (C) A * A^-1 = 0, |A| ≠ 0 (D) A is skew symmetric matrix if a_ij = -a_ji for all i, j (E) (AB)' = A'B' Choose the correct answer from the options given below :

Question

Option 1: (B) and (D) only

Option 2: (A), (D), (E) only

Option 3: (B) and (E) only

Option 4: (A) and (D) only

AfterBoards · Accepted Answer

The answer is '(A) and (D) only'. View full solution:

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) $\begin{pmatrix} 2/15 & -1/15 \\ 1/6 & 1/6 \end{pmatrix}$

CUET Mathematics 2022 7 Aug Shift 2 PYQs

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