Evaluate the determinant of the matrix.$\begin{vmatrix}5&2\\7&3\end{vmatrix}=$|5 27 3|=
Question
Evaluate the determinant of the matrix.
egin{vmatrix}5 & 2 \
7 & 3
ext{end{vmatrix} = |5 \ 27 \ 3| =
Solution
The determinant of a 2x2 matrix is calculated as follows:
For the matrix , the determinant is calculated as .
So, for the matrix , the determinant would be calculated as:
.
So, the determinant of the matrix is 1.
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