`A = [ [ 1 , 0 , 0 ] , [ 0 , cosalpha , sinalpha ] , [ 0 , sinalpha , - cosalpha ] ]`, find |A|

A = [ [ cosalpha , sinalpha ], [ sinalpha , cosalpha ] ] ,then find | A |

If A=[[cosalpha, sinalpha], [-sinalpha, cosalpha]] , then A^(10)=

Show : [ [ cosalpha , -sinalpha ] , [ sinalpha , cosalpha ] ]= [ [1 , 0 ] , [ 0 , 1 ]]

If A=[[cosalpha, -sinalpha, 0], [sinalpha, cosalpha, 0], [0, 0, 1]] , then (adjA)^(-1)=

Evaluate the following: |[cosalpha, sinalpha],[sinalpha, cosalpha]|

If A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] , then

Let A_(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] , then :

Find the inverse of each of the matrices (if it exists) given in [{:(1,0,0),(0,cosalpha,sinalpha),(0,sinalpha,-cosalpha):}]

If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , show that A'A=I.

if A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] be such that A+A'=I then alpha