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Find the product.

-(1)/(3)*[[3,-6],[-3,9]]=

Find the product. $\newline$ $-\frac{1}{3} \cdot\left[\begin{array}{cc} 3 & -6 \\ -3 & 9 \end{array}\right]=$

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Multiply two decimals: where does the decimal point go?

Full solution

Q. Find the product.

\newline

-\frac{1}{3} \cdot\left[\begin{array}{cc} 3 & -6 \\ -3 & 9 \end{array}\right]=

Understand Operation: Understand the operation to be performed. $\newline$ We need to multiply each element of the matrix \left[\begin{array}{cc}\(\newline3 & -6 (\newline\)-3 & 9 $\newline$ \end{array}\right]\) by the scalar $-\frac{1}{3}$ .
Multiply First Element: Multiply the first element of the matrix by $-\frac{1}{3}$ . $-\frac{1}{3} \times 3 = -1$
Multiply Second Element: Multiply the second element of the matrix by $-\frac{1}{3}$ . $-\frac{1}{3} \times -6 = 2$
Multiply Third Element: Multiply the third element of the matrix by $-\frac{1}{3}$ . $\newline$ $-\frac{1}{3} \times -3 = 1$
Multiply Fourth Element: Multiply the fourth element of the matrix by $-\frac{1}{3}$ . $-\frac{1}{3} \times 9 = -3$
Combine Results: Combine the results to form the new matrix. The resulting matrix after multiplying by $-\frac{1}{3}$ is $\left[\begin{array}{cc} -1 & 2 \ 1 & -3 \end{array}\right]$ .

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