Question

Anyone studying matrices here? Is Q inverse orthogonal when Q is orthogonal?

Answer 1

For Q to be orthogonal its inverse equals Q transpose.
So for Q inverse to be orthogonal Q transposed must be orthogonal and based on the criteria for a matrix to be orthogonal i think this only occurs when all elements in the matrix are the same.
course i only looked at the 2X2 case but i assume it would hold for all cases
hope that made sense

Answer 2

im not an expert on matrices so you might want a second opinion

Answer 3

If something is Ortogonal, well then if u take the dot product of them, you will get=0