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two quick question here. I've got the answer correct (I think), but I am not too sure how to explain it in words. So I hope someone tell me is my attempted explanation correct.

1) what is the maximum of non-zero eigenvalues a singular square matrix with 7 rows can have?

up to and include 6, because we wee at least 1 eigenvalues that is 0, such that it will give the determinate of the matrix will be 0. Therefore the matrix can be a singular square matrix.

2)how many non-zero eigenvalues does a non-singular square matrix with 5 rows have?

5, because if any eigenvalues in a square matrix is 0, it will turn the matrix into a singular square matrix.

by the way, I need some conformity on the idea, singular square matrix is bringing higher dimension matrix into lower dimension, such that it will not have any inverse right?

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# Non-zero eigenvalues and square matrix

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