Write the given matrix equation as a system of linear equations without matrices. begin{bmatrix}-1 & 0&1 0 & -1 &0 0&1&1 end{bmatrix}begin{bmatrix}x y z end{bmatrix}=begin{bmatrix}-4 2 4 end{bmatrix}

Daniaal Sanchez 2021-02-26 Answered
Write the given matrix equation as a system of linear equations without matrices.
[101010011][xyz]=[424]
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Expert Answer

2k1enyvp
Answered 2021-02-27 Author has 94 answers
Step 1
Given equation in matrix form:
[101010011][xyz]=[424]
Step 2
Simplifying:
[101010011][xyz]=[424]
[1x+0y+1z0x1y+0z0x+1y+1z]=[424]
[x+zyy+z]=[424]
Comparing both matrices:
The system of linear equations formed:
x+z=4
y=2
y+z=4
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Jeffrey Jordon
Answered 2022-01-22 Author has 2064 answers

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