Question

For a 3 by 3 matrix why cant the null space be its column space

Answer 1

Answer:

Suppose that A is a m×n matrix. Then dimNull(A)+dimCol(A)=n.

Since the null space and the column spaces are equal their dim must be equal.

r+r=n. (Since n=3 in the problem, r=32, hence the it is not possible).

Answer 2

Hi mate
I don’t know the answer of this question

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