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Find the product.

(1)/(2)*[[-4,6],[2,0]]=

Find the product. $\newline$ $\frac{1}{2} \cdot\left[\begin{array}{cc} -4 & 6 \\ 2 & 0 \end{array}\right]=$

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Multiply two decimals: where does the decimal point go?

Full solution

Q. Find the product.

\newline

\frac{1}{2} \cdot\left[\begin{array}{cc} -4 & 6 \\ 2 & 0 \end{array}\right]=

Understand Operation: Understand the operation to be performed. We need to multiply each element of the matrix by one-half $\frac{1}{2}$ . This is a scalar multiplication of a matrix.
Multiply First Element: Multiply the first element of the matrix by $\frac{1}{2}$ . $\left(\frac{1}{2}\right) \times (-4) = -2$
Multiply Second Element: Multiply the second element of the matrix by $\frac{1}{2}$ . $\$\frac{1}{2} \times 6 = 3$ \)
Multiply Third Element: Multiply the third element of the matrix by $\frac{1}{2}$ . $(\frac{1}{2}) \times 2 = 1$
Multiply Fourth Element: Multiply the fourth element of the matrix by $\frac{1}{2}$ . $\frac{1}{2} \times 0 = 0$
Write Resulting Matrix: Write down the resulting matrix after the scalar multiplication. $\newline$ The resulting matrix is: $\newline$ \left[\begin{array}{cc}\(\newline-2 & 3 (\newline\)1 & 0 $\newline$ \end{array}\right]\)

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