SOLUTION: | cosQ sinQ 0| A= |-sinQ cosQ 0| | 0 0 1| is invertible for all Q ,the find A^-1.

SOLUTION: | cosQ sinQ 0| A= |-sinQ cosQ 0| | 0 0 1| is invertible for all Q ,the find A^-1.

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Question 1044593: | cosQ sinQ 0|
A= |-sinQ cosQ 0|
| 0 0 1|
is invertible for all Q ,the find A^-1.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The rows (or columns) of A constitute an orthonormal set of vectors (i.e., any pair is orthogonal, or has scalar product 0; and each has magnitude 1.)
Therefore the inverse of A will just be its transpose .
===> .
Feel free to verify that .
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