129k views
1 vote
PLS HELP !!!!! matrices multiplication

find -5A + 4B

PLS HELP !!!!! matrices multiplication find -5A + 4B-example-1
User Jason OOO
by
7.3k points

1 Answer

5 votes

The value is -5A + 4B is
\[ \begin{bmatrix} -50 & -9 \\ 8 & -2 \\ -11 & 67 \end{bmatrix} \]

To find the matrix expression for \(-5A + 4B\), you first need to perform scalar multiplication for each matrix and then subtract them. Given matrices:


\[ A = \begin{bmatrix} 6 & 1 \\ -4 & -6 \\ 7 & -7 \end{bmatrix} \]


\[ B = \begin{bmatrix} -5 & -1 \\ -3 & -8 \\ 6 & 8 \end{bmatrix} \]

Perform the scalar multiplication:


\[ -5A = \begin{bmatrix} -30 & -5 \\ 20 & 30 \\ -35 & 35 \end{bmatrix} \]


\[ 4B = \begin{bmatrix} -20 & -4 \\ -12 & -32 \\ 24 & 32 \end{bmatrix} \]

Now, subtract the results:


\[ -5A + 4B = \begin{bmatrix} -30 & -5 \\ 20 & 30 \\ -35 & 35 \end{bmatrix} + \begin{bmatrix} -20 & -4 \\ -12 & -32 \\ 24 & 32 \end{bmatrix} \]


\[ -5A + 4B = \begin{bmatrix} -50 & -9 \\ 8 & -2 \\ -11 & 67 \end{bmatrix} \]

So,
\(-5A + 4B\) in matrix form is:


\[ \begin{bmatrix} -50 & -9 \\ 8 & -2 \\ -11 & 67 \end{bmatrix} \]

Complete question:

Find -5A + 4B

A=[6, 1, -4, -6, 7, -7] B=[-5, -1, -3, -8, 6, 8]

a. [-10, 9, 8, -2, 16, 67]

b. -10, 9, 8, -2, -59, -68]

c. [-50, -9, -1, 16, -11, -68]

d. [-50, -9, 8, -2, -11, 67]

User Nickik
by
8.3k points