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*(-4)} & {-7.2*(-4)} & {8.4*(-4)} \\ {-9.3*(-4)} & {4.8*(-4)} & {5.1*(-4)} \\ {1.6*(-4)} & {-3.7*(-4)} & {-2.9*(-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}`