Find the general form of the span of th e indicated matrices, span(A1, A2) 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}

waigaK 2021-02-25 Answered
Find the general form of the span of th e indicated matrices, span(A1, A2)
B=[2503],A1=[1211],A2=[0121]
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Expert Answer

Aamina Herring
Answered 2021-02-26 Author has 85 answers

Step 1
We have to find the general form of the span of the indicated matrices, span(A1, A2) A1=[1211],A2=[0121]
Step 2
(A1,A2)=c1[1211]+c2[0121]
=[c12c1+c2c1+2c2c1+c2]
=[wxyz]
[10|w21|x12|y11|z]=[10w10xz02y+w11z]
=[10w10xz01y+w211zw]
Step 3
=[10w00xzw01y+w200zwy+w2]
w=xz
zw=y+w2
2(zw)=y+w
2z3w=y
2z3(xz)=y
5z3x=y
(A1,A2)=[xzx5z3xz]
Step 4
(A1,A2)=[xzx5z3xz]

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Jeffrey Jordon
Answered 2022-01-14 Author has 2064 answers

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