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" iv) "(cos theta,sin theta),(sin theta,...

" iv) "(cos theta,sin theta),(sin theta,cos theta)

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(i) |(cos theta,-sin theta),(sin theta,cos theta)|

Evaluate the following determinants: (b) |(cos theta, -sin theta),(sin theta, cos theta)| = cos theta (cos theta) - sin theta(-sin theta) = cos^(2) theta + sin^(2) theta = 1

Prove the orthogonal matrices of order two are of the form [(cos theta,-sin theta),(sin theta,cos theta)] or [(cos theta,sin theta),(sin theta,-cos theta)]

Prove the orthogonal matrices of order two are of the form [(cos theta,-sin theta),(sin theta,cos theta)] or [(cos theta,sin theta),(sin theta,-cos theta)]

Prove the orthogonal matrices of order two are of the form [(cos theta,-sin theta),(sin theta,cos theta)] or [(cos theta,sin theta),(sin theta,-cos theta)]

Prove the orthogonal matrices of order two are of the form [(cos theta,-sin theta),(sin theta,cos theta)] or [(cos theta,sin theta),(sin theta,-cos theta)]

A = [(cos theta,-sin theta),(-sin theta,-cos theta)] then find A^(-1) .

The multiplicative inverse of A = [(cos theta,-sin theta),(sin theta,cos theta)]is

If A(theta) = [(cos theta,sin theta),(-sin theta,cos theta)] then prove that A^(2)(theta) = A(2 theta)