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Find the product.

4*[[-1,3],[4,1]]=

Find the product. $\newline$ $4 \cdot\left[\begin{array}{cc}-1 & 3 \\ 4 & 1\end{array}\right]=$

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Multiply two decimals: where does the decimal point go?

Full solution

Q. Find the product.

\newline

4 \cdot\left[\begin{array}{cc}-1 & 3 \\ 4 & 1\end{array}\right]=

Understand operation: Understand the operation to be performed. We need to multiply each element of the matrix by $4$ .
Multiply first element: Multiply the first element of the matrix by $4$ . $\newline$ $4 \times (-1) = -4$
Multiply second element: Multiply the second element of the matrix by $4$ . $\newline$ $4 \times 3 = 12$
Multiply third element: Multiply the third element of the matrix by $4$ . $\newline$ $4 \times 4 = 16$
Multiply fourth element: Multiply the fourth element of the matrix by $4$ . $\newline$ $4 \times 1 = 4$
Write resulting matrix: Write down the resulting matrix with the products calculated in the previous steps. $\newline$ The resulting matrix is $[[-4, 12], [16, 4]]$ .

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