If a matrix A 0 and where k is a positive integer, does that mean A is singular?

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- January 27th 2010, 09:32 PMsuperdudedoes this mean a matrix is singular?
If a matrix A 0 and where k is a positive integer, does that mean A is singular?

- January 27th 2010, 10:05 PMnehme007
A must be singular. Suppose not, then there exists satisfying . Then , giving a contradiction.

- January 27th 2010, 11:15 PMsuperdude
so the =0 means a matrix full of zeros right?

- January 28th 2010, 12:42 AMHallsofIvy