Question

In Exercises 5-8, write B as a linear combination of the other matrices, if possible. 5. $B = \begin{bmatrix} 2 & 5 \\ 0 & 3 \end{bmatrix}$, $A_1 = \begin{bmatrix} 1 & 2 \\ -1 & 1 \end{bmatrix}$, $A_2 = \begin{bmatrix} 0 & 1 \\ 2 & 1 \end{bmatrix}$ 6. $B = \begin{bmatrix} 2 & 3 \\ -4 & 2 \end{bmatrix}$, $A_1 = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$, $A_2 = \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$, $A_3 = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$

          In Exercises 5-8, write B as a linear combination of the
other matrices, if possible.
5. $B = \begin{bmatrix} 2 & 5 \\ 0 & 3 \end{bmatrix}$, $A_1 = \begin{bmatrix} 1 & 2 \\ -1 & 1 \end{bmatrix}$, $A_2 = \begin{bmatrix} 0 & 1 \\ 2 & 1 \end{bmatrix}$
6. $B = \begin{bmatrix} 2 & 3 \\ -4 & 2 \end{bmatrix}$, $A_1 = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$, $A_2 = \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$, $A_3 = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$

In Exercises 5-8, write B as a linear combination of the
other matrices, if possible.
5. B =
< b m a t r i x >, A1 =
< b m a t r i x >, A2 =
< b m a t r i x >
6. B =
< b m a t r i x >, A1 =
< b m a t r i x >, A2 =
< b m a t r i x >, A3 =
< b m a t r i x >

Added by Emilio P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Elizabeth Xu

03/31/2020

Step 1

B = 2A1 + 5A2 Show more…

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In Exercises 5-8, write B as a linear combination of the other matrices, if possible. 5. B=[[2,5,3]] 0,A_(1)=[[1,2,1]] -1,A_(2)=[[0,1,1]] 2 6. B=[[2,3,2]] -4,A_(1)=[[1,0,1]] 0,A_(2)=[[0,-1,0]] 1, A_(3)=[[1,1,1]] 0 In Exercises 5-8,write B as a linear combination of the other matrices, if possible 2 5 0 1 2 1 5.B -1 6.B 0 A3