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Find the determinant of the matrix A begin pmat... - JAMB Mathematics 2022 Question

Find the determinant of the matrix A = \(\begin{pmatrix} 2 & 3 \ 1 & 3 \end{pmatrix}\)

A

4

B

2

C

5

D

3

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Correct Option: D

To find the determinant of a 2x2 matrix, we use the formula:

det(A) = ad - bc, where A = \(\begin{pmatrix} a & b \ c & d \end{pmatrix}\)

In this case, the matrix A is \(\begin{pmatrix} 2 & 3 \ 1 & 3 \end{pmatrix}\).

So, a = 2, b = 3, c = 1, and d = 3.

det(A) = (2 * 3) - (3 * 1) = 6 - 3 = 3

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