If A = [a_{ij}] be a 3 x 3 matrix, where ... - CBSE Class 12 ...

CBSE Class 12 Math 2024 All Sets Solved Paper

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Question : 12 of 20

Marks: +1, -0

If

A = [a_{ij}]

be a 3 x 3 matrix, where

a_{ij} = i - 3j

, then which of the following is false?

$a_{11} < 0$
$a_{12} + a_{21} = -6$
$a_{13} > a_{31}$
$a_{31} = 0$

Solution:

(A)

a_{11} = 1 - 3 = -1 < 0

(True)

(B)

a_{12} + a_{21} = 1 - 3 \times 2 + 2 - 3 \times 1 = -6

(True)

(C)

a_{13} > a_{31} \rightarrow 1 - 3 \times 3 > 3 - 3 \times 1 \rightarrow -8 > 0

(False)

(D)

a_{31} = 3 - 3 \times 1 = 0

(True)

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