Solve {cc}{6}&{-5}{3}&{-2}

$$\left( \begin{array} { c c } { 6 } & { - 5 } \\ { 3 } & { - 2 } \end{array} \right)$$

Calculate Determinant

$$3$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}6&-5\\3&-2\end{matrix}\right))$$

For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.

$$6\left(-2\right)-\left(-5\times 3\right)$$

Multiply 6 times -2.

$$-12-\left(-5\times 3\right)$$

Multiply -5 times 3.

$$-12-\left(-15\right)$$

Subtract -15 from -12.

$$3$$

Evaluate

$$\left(\begin{matrix}6&-5\\3&-2\end{matrix}\right)$$