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

Answer:

See below for the matrix

D = 100

Step-by-step 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

Sorry, I can't type the vertical bars.

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