# 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.` **

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