Question

Evaluate the determinant please answer i have limited time

Answer 1

See Explanation

Explanation:

`\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 * 1 - 3 * 2 \\ \\ = 4 - 6 \\ \\ = - 2`

`\begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\ </p><p>=4(-4* 2-5* 7)\\ -2(-1* 2-5* 3)\\ +6(-1* 7-(-4)* 3)\\\\</p><p>= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\</p><p>= 4(-43) -2(-17) +6(5)\\\\</p><p>= - 172 + 34 + 30\\\\</p><p>= 64 - 172\\\\</p><p>= - 108 \\`