Question

Evaluate each determinate . |5 1||-4 0||-2 37. -1||9. -83. -2||10. 512. -8|

Answer 1

Number 1

Given

$\begin{bmatrix}{5} & {1} \\ {-4} & {0}\end{bmatrix}$

Solution

The determinant formula

$\begin{bmatrix}{a} & {b} \\ {c} & {d}\end{bmatrix}=ad-bc$

Now apply the determinant formula

$\begin{gathered} \begin{bmatrix}{5} & {1} \\ {-4} & {0}\end{bmatrix}=(5\times0)-(1\times-4) \\ \\ \begin{bmatrix}{5} & {1} \\ {-4} & {0}\end{bmatrix}=0-(-4) \\ \\ \begin{bmatrix}{5} & {1} \\ {-4} & {0}\end{bmatrix}=0+4 \\ \\ \begin{bmatrix}{5} & {1} \\ {-4} & {0}\end{bmatrix}=4 \end{gathered}$

The final answer

$\begin{bmatrix}{5} & {1} \\ {-4} & {0}\end{bmatrix}=4$