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What is x if matrix determinant d=4? matrix = (2 3) (4 x)
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You need to evaluate the determinant `|A|` of the given square matrix A, using the following formula, such that:
`A = ((a,b),(c,d))`
`|A| = ad - bc`
Reasoning by analogy, yields:
`A = ((2,3),(4,x))`
`d = |A| = 2x - 4*3 => d = |A| = 2x - 12`
The problem provides the information that the determinant of square matrix is `4` , hence, you need to replace `4` for `|A|` in equation above, such that:
`2x - 12 = 4 => 2x = 12 + 4 => 2x = 16 => x = 8`
Hence, evaluating x, under the given conditions, yields `x = 8.`
Posted by sciencesolve on September 25, 2013 at 4:38 PM (Answer #1)
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