Let A be an n × n invertible matrix. Show that if(adsbygoogle = window.adsbygoogle || []).push({});

i ≠ j, then row vector i of A and column vector

j of A^{-1}are orthogonal.

I'm lost in regards to where to lost.

I want to show that a vector from row vector i from A is orthogonal to a column vector j from A.

Orthogonal means the dot product is 0 or the angle between the 2 vectors is 90 degrees.

After stating the obvious I'm stuck. I think I need to start with figuring out what the relationship between a row vector from A and a column vector from A^-1 is, but how do I do that?

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# Homework Help: Orthogonal vector proof

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