If \(Q\) is \(\begin{bmatrix}9 & -2 \\ -7 & 4\end{bmatrix}\), then \(|Q|\) is

Assessment: JAMB UTME - Mathematics - 2009 Subject: General Mathematics

Question 1 Report

If \(Q\) is \(\begin{bmatrix}9 & -2 \\ -7 & 4\end{bmatrix}\), then \(|Q|\) is

Answer Details
To find |Q|, we need to take the determinant of the matrix Q and then take its absolute value. So, we have: |Q| = |9 -2 -7| |-2 0 -4| |-7 -4 0| Expanding along the first row, we get: |Q| = 9(0 - (-4)) - (-2)(-4 - (-7)) - (-7)(-4 - 0) |Q| = 36 - 2(3) + 28 |Q| = 59 Therefore, the correct option is (D) 50.

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