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MATHEMATICS

JAMB 2010 - Question 26

Mathematics 2010 JAMB Past Questions - Question 26: Evaluate |2 0 5| 4 6 3 8 9 1

Evaluate |2 0 5| 4 6 3 8 9 1

A: -42

B: 102

C: 18

D: -102

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Correct Answer

Explanation

To evaluate the determinant of the matrix:|2 0 5||4 6 3||8 9 1|We can use the formula for a 3x3 determinant:det = (2 * 6 * 1) + (0 * 3 * 8) + (5 * 4 * 9) - (5 * 6 * 8) - (0 * 4 * 1) - (2 * 3 * 9)Simplifying the expression, we get:det = 12 + 0 + 180 - 240 - 0 - 54det = -102Therefore, the determinant of the given matrix is -102.