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CBSE Class 12 · 2024 · MatricesMultiple Choice

Find the matrix

A^{2}

, where

A = [a_{ij}]

is a

2 \times 2

matrix whose elements are given by

a_{ij} = max (i, j) - min (i, j)

:

(A) $[0000]$
(B) $[0110]$
(C) $[1001]$ ✓ Correct
(D) $[1111]$

Answer: (C)

Solution

The rule gives

a_{11} = 0, a_{22} = 0, a_{12} = a_{21} = 1

, so

A = [0110]

. Then

A^{2} = [0110] [0110] = [1001] = I .

Correct option: (C).

CBSE Class 12 Board · 2024 · Single correct option

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