Find the product. -(1)/(3)*[[3,-6],[-3,9]]=

Understand Operation: Understand the operation to be performed. We need to multiply each element of the matrix [[3,-6],[-3,9]] by the scalar -1/3. Multiply First Element: Multiply the first element of the matrix by -1/3. -1/3 * 3 = -1 Multiply Second Element: Multiply the second element of the matrix by -1/3. -1/3 * -6 = 2 Multiply Third Element: Multiply the third element of the matrix by -1/3. -1/3 * -3 = 1 Multiply Fourth Element: Multiply the fourth element of the matrix by -1/3. -1/3 * 9 = -3 Combine Results: Combine the results to form the new matrix. The resulting matrix after multiplying by -1/3 is [[-1, 2], [1, -3]].

Home

Math Problems

Grade 6

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 $\left[\begin{array}{cc} -1 & 2 \ 1 & -3 \end{array}\right]$ .