How do you find the determinant of $((7, -1), (6, -2))$ ?

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Answer 1 · 2016-02-13T14:58:00

$-8$

The determinant of the $2xx2$ matrix

$((a,b),(c,d))$

is equal to $color(red)(ad-bc)$ .

Here, with the matrix

$((7,-1),(6,-2))$

we see that

${(a=7),(b=-1),(c=6),(d=-2):}$

Thus, the determinant of the matrix is equal to

$ad-bc=(7)(-2)-(-1)(6)=-14+6=color(blue)(-8)$

How do you find the determinant of ((7, -1), (6, -2))((7, -1), (6, -2))?