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MATHEMATICS

JAMB 2012 - Question 24

Mathematics 2012 JAMB Past Questions - Question 24: Given that 1₃ is a unit matrix of order 3 find |1₃|

Given that 1₃ is a unit matrix of order 3 find |1₃|

A: -1

B: 0

C: 1

D: 2

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Correct Answer

Explanation

1₃ = <1 0 0 > | 1 0 0| 0 1 0 0 1 0 0 0 1 1 0 1= 1 ( 1- 0) -0 ( 0 - 0) + (0 - 0) = 1 cThe unit matrix of order 3, denoted as 1₃, is a square matrix with ones on the main diagonal and zeros elsewhere. The determinant of a unit matrix is always equal to 1. Therefore, |1₃| = 1.Hence, the determinant of the unit matrix 1₃ of order 3 is 1.