Find the product. (1)/(5)*[[15,-5],[-10,20]]=

Understand Operation: Understand the operation to be performed. We need to multiply each element of the matrix by the fraction 1/5. This is a scalar multiplication of a matrix.Multiply First Element: Multiply the first element of the matrix by 1/5. (1/5) * 15 = 3Multiply Second Element: Multiply the second element of the matrix by 1/5. (1/5) * (-5) = -1Multiply Third Element: Multiply the third element of the matrix by 1/5. (1/5) * (-10) = -2Multiply Fourth Element: Multiply the fourth element of the matrix by 1/5. (1/5) * 20 = 4Combine Results: Combine the results to form the new matrix. The new matrix after multiplying by 1/5 is [[3, -1], [-2, 4]].

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Find the product.

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\frac{1}{5} \cdot\left[\begin{array}{cc} 15 & -5 \\ -10 & 20 \end{array}\right]=

Understand Operation: Understand the operation to be performed. We need to multiply each element of the matrix by the fraction $\frac{1}{5}$ . This is a scalar multiplication of a matrix.
Multiply First Element: Multiply the first element of the matrix by $\frac{1}{5}$ . $(\frac{1}{5}) \times 15 = 3$
Multiply Second Element: Multiply the second element of the matrix by $\frac{1}{5}$ . $\$\frac{1}{5} \times (-5) = -1$ \)
Multiply Third Element: Multiply the third element of the matrix by $\frac{1}{5}$ . $\$\frac{1}{5} \times (-10) = -2$ \)
Multiply Fourth Element: Multiply the fourth element of the matrix by $\frac{1}{5}$ . $\$\frac{1}{5} \times 20 = 4$ \)
Combine Results: Combine the results to form the new matrix. $\newline$ The new matrix after multiplying by $\frac{1}{5}$ is $\left[\begin{array}{cc}3 & -1 \ -2 & 4\end{array}\right]$ .