SOLUTION: Determinant matrix hard to type so here’s a link to the question. https://ibb.co/RC0r5jb Thanks in advance!!

Question 1199083: Determinant matrix hard to type so here’s a link to the question.
https://ibb.co/RC0r5jb
Thanks in advance!!
Answer by ikleyn(52864)   (Show Source): You can put this solution on YOUR website!
.

Consider the second matrix, let's call it matrix B, keeping designation A for the first matrix.

In the second matrix, subtract the second column from the third column. Let new matrix be B'.
The determinant B' is the same as the determinant B:   det(B) = det(B').

But B' is simply A transposed with the doubled first column.

Therefore,   det(B) = det(B') = 2*det(A),   or   det(B) = 2*3 = 6.         ANSWER

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Solved.

I freely use the elementary properties of determinants.

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