Find the product. -(1)/(4)*[[20,-4],[16,-12]]=

Understand Operation: Understand the operation to be performed. We need to multiply each element of the matrix [[20,-4],[16,-12]] by the scalar -1/4.Multiply First Element: Multiply the first element of the matrix by -1/4. -1/4 * 20 = -5Multiply Second Element: Multiply the second element of the matrix by -1/4. -1/4 * -4 = 1Multiply Third Element: Multiply the third element of the matrix by -1/4. -1/4 * 16 = -4Multiply Fourth Element: Multiply the fourth element of the matrix by -1/4. -1/4 * -12 = 3Combine Results: Combine the results to form the new matrix. The resulting matrix after multiplying by -1/4 is [[-5, 1], [-4, 3]].

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Find the product.

\newline

-\frac{1}{4} \cdot\left[\begin{array}{cc} 20 & -4 \\ 16 & -12 \end{array}\right]=

Understand Operation: Understand the operation to be performed. $\newline$ We need to multiply each element of the matrix $\left[\begin{array}{cc}20 & -4 \ 16 & -12\end{array}\right]$ by the scalar $-\frac{1}{4}$ .
Multiply First Element: Multiply the first element of the matrix by $-\frac{1}{4}$ . $\newline$ $-\frac{1}{4} \times 20 = -5$
Multiply Second Element: Multiply the second element of the matrix by $-\frac{1}{4}$ . $\newline$ $-\frac{1}{4} \times -4 = 1$
Multiply Third Element: Multiply the third element of the matrix by $-\frac{1}{4}$ . $-\frac{1}{4} \times 16 = -4$
Multiply Fourth Element: Multiply the fourth element of the matrix by $-\frac{1}{4}$ . $-\frac{1}{4} \times -12 = 3$
Combine Results: Combine the results to form the new matrix. $\newline$ The resulting matrix after multiplying by $-\frac{1}{4}$ is \left[\begin{array}{cc}-5 & 1 \-4 & 3\end{array}\right].