How do you find the value of the determinant |(12,-26), (-15,32)|?

Dec 6, 2016

The answer is $= - 6$

Explanation:

The calculation of a $2$x$2$ determinant is

$| \left(a , b\right) , \left(c , d\right) |$ $= a \cdot d - b \cdot c$

So,

$| \left(12 , - 26\right) , \left(- 15 , 32\right) | = 12 \cdot 32 - \left(- 26\right) \cdot \left(- 15\right)$

$= 12 \cdot 32 - 26 \cdot 15 = 384 - 390 = - 6$