Question

If told that |A|=48 what are the possible values for X. Please help!

Answer 1

If the value of |A| is 48 the possible values for x in the matrix is 4 or -2.

How to use determinant to find a value in a matrix?

The determinant of the matrix A is as follows:

|A| = 48

Therefore,

48 = (3x × 2x) - (4x × 3)

48 = 6x² - 12x

6x² - 12x - 48 = 0

3x² - 6x - 24 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2 -4(x + 2) = 0

(x - 4)(x +2) = 0

Therefore,

x = 4 or -2

learn more on determinant here: brainly.com/question/19206601