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Matrix Multiplication and Calculation of Inverses

Using A = [ cos a -sin a
sin a cosa ]

Find A inverse

Check A is in So sub 2 (R)
Check A inverse *A = Identity and A* A inverse = Identity

Show that S) sub 2 (R) is abelian

Solution Preview

To find the inverse of A, we just use the inverse matrix formula for any 2x2 matrix, which says that we need to swap the diagonal elements (keeping their signs), then we swap the other 2 elements and also change their signs to ...

Solution Summary

Matrix Multiplication and Calculation of Inverses are investigated.

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