If A = [a_{ij}] be a 3 x 3 matrix, where a_{ij} = i - 3j, ...

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 × 2 + 2-3× 1 = -6

(True)
(C)

a_{13} > a_{31} → 1 - 3× 3 > 3 - 3× 1 → -8>0

(False)
(D)

a_{31} = 3 - 3 × 1 = 0

(True)

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