[" (1) "cos theta-sin theta],[sin thetaquad cos theta]

" (1) "|[cos theta,-sin theta],[sin theta,cos theta]|

Find the value of |[cos theta,-sin theta],[sin theta,cos theta]|

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

Evaluate |[cos theta, -sin theta], [sin theta, cos theta]|

If A= [[cos theta,-sin theta],[sin theta,cos theta]] ,then Adj A is (a) [[cos theta,-sin theta],[cos theta,sin theta]] (b) [[1,0],[0,1]] (c) [[cos theta,sin theta],[-sin theta,cos theta]] (d) [[-1,0],[0,-1]]

Find the matrix A , when A^(-1) = [[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

If A = [[cos theta, sin theta],[-sin theta, cos theta]] , then what is A^(-1) ?

Show that if A = [[cos theta, sin theta],[-sin theta, cos theta]] , then A^n = [[cos n theta, sin n theta],[-sin n theta, cos n theta]]

Simplify, costheta[[cos theta, sin theta],[-sin theta, cos theta]] + sin theta [[sin theta, -cos theta],[cos theta, sin theta]]