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प्रश्न
Show that `[(1, 2, 3),(0, 1, 0),(1, 1, 0)][(-1, 1, 0),(0, -1, 1),(2, 3, 4)] ≠ [(-1, 1, 0),(0, -1, 1),(2, 3, 4)][(1, 2, 3),(0, 1, 0),(1, 1, 0)]`
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उत्तर
Right side =` [(1, 2, 3),(0, 1, 0),(1, 1, 0)] [(-1, 1,0),(0, -1, 1),(2, 3, 4)]`
= `[(-1 + 0 + 6, 1 - 2 + 9, 0 + 2 + 12),(0 + 0 + 0, 0 - 1 + 0, 0 + 1 + 0), (-1 + 0 + 0, 1 - 1 + 0, 0 + 1 + 0)]`
= `[(5, 8, 14), (0, -1, 1),(-1, 0, 1)]`
Left side = `[(-1, 1, 0),(0, -1, 1),(2, 3, 4)] [(1, 2, 3),(0, 1, 0),(1, 1, 0)]`
= `[(-1 + 0 + 0, -2 + 1 + 0, -3 + 0 + 0),(0 + 0 + 1, 0 - 1 + 1, 0 + 0 + 0), (2 + 0 + 4, 4 + 3 + 4, 6 + 0 + 0)]`
= `[(-1, -1, -3), (1, 0, 0),(6, 11, 6)]`
Right side ≠ Life side
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