Question

If A=[(1, 2,1) (2, 0, 0) (0, 5, 0)] A: R3->R3 1) Find the row reduced...

If A=[(1, 2,1)

(2, 0, 0)

(0, 5, 0)]

A: R3->R3

1) Find the row reduced echelon form of A

2) Find the image of A

3) Find a nonzero vector in ker(A)

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Homework Answers

Answer #1

Solution:

  

  

  

  

Since is  linearly independent ,   form a basis for image of   .

So, by rank-nullity theorem

there is no nonzero vector in   .

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