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Homework 2 work collaboration area

Question from student:

If we find that a matrix has a nullity value such as 1, then there has to be a null space correct?

Answer from Bell:

A matrix with a nullity of one has a one dimensional null space. (The zero vector is always in the null space of a matrix, so it never happens that a matrix does not have a null space.)

Question from student:

Regarding # 4 on page 301: it doesn't seem that the original matrix can be put in row reduced echelon form, which is a requirement, correct?

Answer from Bell:

Any matrix can be put into reduced row echelon cases. For #4 on page 301, you'll need to consider various cases: Case a=0, case b=0, etc.


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