Determine the null space of each of the following matrices: begin{pmatrix}1 & 3 &-4 2 & -1 & -1 -1 & -3 &4 end{pmatrix}

Mylo O'Moore 2021-03-06 Answered
Determine the null space of each of the following matrices:
(134211134)
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Expert Answer

SoosteethicU
Answered 2021-03-07 Author has 102 answers
Step 1
Consider the given matrix:
(134211134)
Now solve the system of equations below to find the null spaces:
(134211134)(x1x2x3)=(000)
Solve the above matrix using Gauss Elimination method . Find the row echelon form: R2=R22R1
(134077134)(x1x2x3)=(000)
R3=R3+R1
(134077000)(x1x2x3)=(000)
Step 2
we get equations:
7x2+7x3=0
7x2=7x3
x2=x3 And x1+3x24x3=0
x1+3x24x2=0
x1=x2
Therefore null space is given by:
(x2x2x2)=x2(111)
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Jeffrey Jordon
Answered 2022-01-24 Author has 2064 answers

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