A=begin{bmatrix}4 & 0 0 & -6 end{bmatrix} , B=begin{bmatrix}0 & -3 3 & -3 end{bmatrix} Find a matrix C which satisfies 5A+C=B Find a matrix D which satisfies A+B+D=I

jernplate8 2020-11-10 Answered
A=[4006],B=[0333]
Find a matrix C which satisfies 5A+C=B
Find a matrix D which satisfies A+B+D=I
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Expert Answer

gotovub
Answered 2020-11-11 Author has 98 answers
Step 1
Given matrices are,
A=[4006],B=[0333]
Step 2
(1) Find a matrix C which satisfies
5A+C=B
C=B-5A
C=[0333]5[4006]
Step 3
After solving
C=[0333][200030]
C=[203327]
Step 4
(2) Find a matrix D which satisfies A+B+D=I
Let D=[acbd]=[4006]+[0333]+[acbd]=[1001]
[acbd]=[1001][4006][0333]
[acbd]=[33310]
Step 5
Hence the D will be
D=[33310]
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Jeffrey Jordon
Answered 2022-01-29 Author has 2047 answers

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