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2023

Mathematics

JAMB

If D = [241−11−3321] Find |D|

A.

16

B.

14

C.

-23

D.

-37

Correct Answer: -23

Explanation

2[(1 x 1) - (2 x -3)] - (-1)[(4 x 1) - (2 x 1)] + 3[(4 x -3) - (1 x 1)] = 2(1 - (-6)) + 1(4 - 2) + 3(-12 - 1) = 2(1 + 6) + 1(2) + 3(-13) = 2(7) + 1(2) + 3(-13) = 14 + 2 - 39 ∴ |D| = -23

2[(1 x 1) - (2 x -3)] - (-1)[(4 x 1) - (2 x 1)] + 3[(4 x -3) - (1 x 1)] = 2(1 - (-6)) + 1(4 - 2) + 3(-12 - 1) = 2(1 + 6) + 1(2) + 3(-13) = 2(7) + 1(2) + 3(-13) = 14 + 2 - 39 ∴ |D| = -23
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