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प्रश्न
If A = `[(-1, 3),(2, 4)], "B" = [(2, -3),(-4, -6)]` find the matrix AB + BA
उत्तर
A = `[(-1, 3),(2, 4)]`
B = `[(2, -3),(-4, -6)]`
AB = `[(-1, 3),(2, 4)] xx [(2, -3),(-4, -6)]`
= `[(-2 - 12, 3 - 18),(4 - 16, -6 - 24)]`
= `[(-14, -15),(-12, -30)]`
BA = `[(2, -3),(-4, -6)] xx [(-1, 3),(2, 4)]`
= `[(-2 - 6, 6 - 12),(4 - 12, -12 - 24)]`
= `[(-8, -6),(-8, -36)]`
∴ AB + BA
= `[(-14, -15),(-12, -30)] + [(-8, -6),(-8, -36)]`
= `[(-14 - 8, 15 - 6),(-12 - 8, -30 - 36)]`
= `[(-22, -21),(-20, -66)]`.
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