# orthogonal matrix

• November 22nd 2009, 06:25 PM
ecc5
orthogonal matrix
Prove that the row vectors of an orthogonal matrix A are unit vectors that are orthogonal to one another. My text gave the following hint: If A and B are nxn matrices satisfying BA=I, then B=A inverse and A=B inverse.

I know that orthogonal matrices have columns that are unit vectors that are orthogonal to one another, but I am unsure how to prove that the rows follow the same properties.

If you have any ideas, I would appreciate it. Thanks!
• November 22nd 2009, 07:12 PM
Shanks
well, If A is orthogonal matrix, then $A^T$ is also a orthogonal matrix.
• November 22nd 2009, 07:18 PM
ecc5
oh, duh :) Thanks!