Let A and B be orthogonal nxn matrices. Determine which of the following matrices are orthogonal. (Jusitify)

1) $\displaystyle A^{-1} $ 2) A - B

If AC is also an orthogonal nxn matrix, must C be orthogonal?

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- Mar 12th 2010, 03:02 PMwopashuiDetermine if the matrice are orthogonal
Let A and B be orthogonal nxn matrices. Determine which of the following matrices are orthogonal. (Jusitify)

1) $\displaystyle A^{-1} $ 2) A - B

If AC is also an orthogonal nxn matrix, must C be orthogonal? - Mar 13th 2010, 03:00 AMHallsofIvy
What is the

**definition**of "orthogonal matrix"? Can you use that?