Question

Which of the following shows matrix Mmultiplied by a scalar of -4 to create matrix N?

Answer 1

Given the matrix:

$M=\begin{bmatrix}{6.5} & {-7.2} & {8.4} \\ {-9.3} & {4.8} & {5.1} \\ {1.6} & {-3.7} & {-2.9}\end{bmatrix}$

Let's multiply the matrix M by a scaler of -4 to create matrix N.

To multiply the matrix by -4, let's multiply all terms in the matrix by -4:

$\begin{gathered} N=-4\begin{bmatrix}{6.5} & {-7.2} & {8.4} \\ {-9.3} & {4.8} & {5.1} \\ {1.6} & {-3.7} & {-2.9}\end{bmatrix} \\ \\ N=\begin{bmatrix}{6.5\times(-4)} & {-7.2\times(-4)} & {8.4\times(-4)} \\ {-9.3\times(-4)} & {4.8\times(-4)} & {5.1\times(-4)} \\ {1.6\times(-4)} & {-3.7\times(-4)} & {-2.9\times(-4)}\end{bmatrix} \end{gathered}$

Solving further?

$\begin{bmatrix}{-26} & {28.8} & {-33.6} \\ {37.2} & {-19.2} & {-20.4} \\ {-6.4} & {14.8} & {11.6}\end{bmatrix}$

ANSWER:

$\begin{bmatrix}{-26} & {28.8} & {-33.6} \\ {37.2} & {-19.2} & {-20.4} \\ {-6.4} & {14.8} & {11.6}\end{bmatrix}$