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Question
Find x, if `[(1, "x", 1)][(1, 2, 3),(4, 5, 6),(3, 2, 5)] [(1),(-2), (3)]` = 0
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Solution
`[(1, "x", 1)][(1, 2, 3),(4, 5, 6),(3, 2, 5)] [(1),(-2), (3)]` = 0
∴ `[(1, "x", 1)] [(1 - 4 + 9),(4 - 10 + 18),(3 - 4 + 15)]` = 0
∴ `[(1, "x", 1)] [(6),(12),(14)]` = 0
∴ [6 + 12x + 14] = [0]
∴ by equality of matrices, 12x + 20 = 0
∴ x = `-5/3`.
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