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MIT 18.06 Linear Algebra, Spring 2010
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OpenStudy (anonymous):
Hi guys, I have a question about zero rows of a reduced echelon form of a matrix. Why is the number of nonpivot columns the same as its zero rows of reduced echelon form? Thank you.
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OpenStudy (anonymous):
for example if if m x n matrix it means rows has zeroes then it means we will have 0xn=0,thats y columns will also have zeros.
OpenStudy (anonymous):
It's true only if n=m. See section 3.6. rank = # pivot columns = # pivot rows. So #nonpivot columns = n - r, #nonpivot rows = m-r.
OpenStudy (anonymous):
Thank you dhwagner. Your answer is really helpful. I will have a linear algebra midterm next Wed. Hope I won't screw it up.
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