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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(52858)   (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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