SOLUTION: find the determinant of the matrix {{{(matrix(2,2,5, 2, -3, 1))}}}

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Question 172192: find the determinant of the matrix

Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The determinant of the general 2x2 matrix is


So in this case, the matrix gives us the values , , , and


Start with the determinant of any 2x2 matrix


Plug in , , , and


Multiply


Add


So the determinant of the matrix is 11
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

The determinant of matrix  is writen
just like the matrix except it is enclosed within vertical bars
instead of parentheses or brackets:



The rule for finding the value of the determinant is



Therefore, the determinant of



is 

 

and its value is:



Edwin
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