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- Dec 30th 2010, 09:13 AM #1

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## ERO's and ECO's

Let A be an matrix with entries in . Show by using elementary row and column operations, that there are invertible matrices P and Q (where P has size and Q has size ) such that:

.

I can sort of see why this is true. You would need to use ECO's to make all but 1 entries in a row 0, and then permute the rows until you get the requied order. But I can't see how I can present this in the form of a solution. Help anyone?

- Dec 30th 2010, 09:24 AM #2

- Dec 30th 2010, 09:31 AM #3
I suppose

**worc3247**meant "... and " then, the statement is true.

Fernando Revilla

- Dec 30th 2010, 09:32 AM #4

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- Dec 30th 2010, 09:43 AM #5
Perhaps this can help you.

Fernando Revilla