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प्रश्न
If A = `[(0, 3, 3),(-3, 0, -4),(-3, 4, 0)]` and B = `[(x),(y),(z)]`, find the matrix B'(AB)
उत्तर
AB = `[(0, 3, 3),(-3, 0, -4),(-3, 4, 0)] [(x),(z),(y)]`
= `[(3y + 3z),(-3x + 4z),(-3x + 4y)]`
B'(AB) = `[(x),(y),(z)] [(3y + 3z),(-3x - 4z),(-3x + 4y)]`
= `[(x, y, z)] [(3y + 3z),(-3x - 4z),(-3x + 4y)]`
= [3xy + 3xz − 3xy − 4yz − 3xz + 4yz]
= [0]
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