Solve {l}{1}{4}{5}{lll}{2}&{1}&{3}

$$\left( \begin{array} { l } { 1 } \\ { 4 } \\ { 5 } \end{array} \right) \left( \begin{array} { l l l } { 2 } & { 1 } & { 3 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}2&1&3\\8&4&12\\10&5&15\end{matrix}\right)$$

Steps Using Matrix Multiplication Rule

Matrix multiplication is defined if the number of columns of the first matrix is equal to the number of rows of the second matrix.

$$\left(\begin{matrix}1\\4\\5\end{matrix}\right)\left(\begin{matrix}2&1&3\end{matrix}\right)$$

Multiply the first element of the first matrix by the first element of the second matrix to obtain the element in the first row, first column of the product matrix.

$$\left(\begin{matrix}2&&\\&&\\&&\end{matrix}\right)$$

The remaining elements of the product matrix are found in the same way.

$$\left(\begin{matrix}2&1&3\\4\times 2&4&4\times 3\\5\times 2&5&5\times 3\end{matrix}\right)$$

Simplify each element by multiplying the individual terms.

$$\left(\begin{matrix}2&1&3\\8&4&12\\10&5&15\end{matrix}\right)$$

Calculate Determinant

$$0$$