If p begin pmatrix x 3 amp x 2 x 1 amp x - 1 en... - JAMB Mathematics 2009 Question
If p = \(\begin{pmatrix} x + 3 & x + 2 \ x + 1 & x - 1 \end{pmatrix}\) evaluate x if |p| = -10
A
-5
B
-2
C
2
D
5
correct option: d
If p = \(\begin{pmatrix} x + 3 & x + 2 \ x + 1 & x - 1 \end{pmatrix}\) evaluate x if |p| = -10
|P| = (x + 3)(x - 1) - (x + 2)(x + 1)
x2 + 2x - 3 - (x2 + 3x + 2)
x2 + 2x - 3 - x2 - 3x - 2
-x - 5 = -10
-x = -10 + 5
x = 5
|P| = (x + 3)(x - 1) - (x + 2)(x + 1)
x2 + 2x - 3 - (x2 + 3x + 2)
x2 + 2x - 3 - x2 - 3x - 2
-x - 5 = -10
-x = -10 + 5
x = 5
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