Question

Write the system in a matrix equation. Then, find the determinant of the matrix containing the coefficients.

3x + 2y +z = -8
-y-2x + 4z = 7 X-6y-3z=15
х– бу – Зz = 15

Answer 1

See below for the matrix

D = 100

Explanation:

`\left[\begin{array}{cccc}3&2&1&-8\\-1&-2&4&7\\1&-6&-3&15\end{array}\right]`

3 2 1

D = -1 -2 4 = 3(-2)(-3) + 2(4)(1) + 1(-1)(-6)

1 -6 -3

- 1(-2)(1) - 3(4)(-6) - 2(-1)(-3)

= 18 + 8 + 6 + 2 + 72 - 6

= 100

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