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

ediculeN 2021-02-25 Answered
Determine the null space of each of the following matrices:
[2132]
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Expert Answer

Arnold Odonnell
Answered 2021-02-26 Author has 109 answers
Step 1
The null space of matrix A is B such that AB=0 for all B is not null.
Given A=[2132]
B=[x1x2]
[2132][x1x2]=[00]
Step 2
To findout nullspace , writing the matrix in Augment form and convert the, to echelon form.
[21|032|0]
R2R232R1
=[21|0012|0]
2x1+x2=0 or 12x2=0
We know x1,x2 cant be zero since B cant be null
2x1+x2=0
Assume x2=Cx1=c2
 Null space B=[c2c]cR
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Jeffrey Jordon
Answered 2022-01-27 Author has 2313 answers

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