What are the image and kernel of matrices A and B?

In summary: Yes, those are the correct image and kernel for A. For B, note that the two vectors you show are linearly dependent. The second vector is a scalar multiple of the first (or vice-versa).
  • #36
oops sorry! that makes sense. is the reason that only applies to A because it is a square matrix?
 
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  • #37
toothpaste666 said:
oops sorry! that makes sense. is the reason that only applies to A because it is a square matrix?
A is not a square matrix: it is 3 X 1. B is a square matrix. The vectors in post #34 are unrelated to the A and B matrices.

Please start a new thread.
 

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