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Question
Find the non-zero values of x satisfying the matrix equation
`x[(2x, 2),(3, x)] + 2[(8, 5x),(4, 4x)] = 2[(x^2 + 8, 24),(10, 6x)]`
Solution
`x[(2x, 2),(3, x)] + 2[(8, 5x),(4, 4x)] = 2[(x^2 + 8, 24),(10, 6x)]`
`[(2x^2, 2x),(3x, x^2)] + [(16, 10x),(8, 8x)] = [(2x^2 + 16, 48),(20, 12x)]`
`[(2x^2 + 16, 12x),(3x + 8, x^2 + 8x)] = [(2x^2 + 16, 48),(20, 12x)]`
12x = 48
x = `48/12`
= 4
The value of x = 4
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