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

Select and write the correct answer from the given alternatives in each of the following:If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] ,then A A' =

Select the correct option from the given alternatives.If A = [[cosalpha,sinalpha],[-sinalpha,cosalpha]] then A^-1 = ? 1) [[frac{1}{cosalpha},-frac{1}{sinalpha],[frac{1}{sinalpha},frac{1}{cosalpha]] 2) [[cosalpha,-sinalpha],[sinalpha,cosalpha]] 3) [[-cosalpha,sinalpha],[-sinalpha,cosalpha]] 4) [[-cosalpha,sinalpha],[sinalpha,-cosalpha]]

If A=[[cosalpha, sinalpha], [-sinalpha, cosalpha]] and A(adjA)=[[k, 0], [0, k]] , then k=

If A=[(cas alpha, sinalpha),(-sinalpha,cosalpha)], AA'=

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] , then verify that A^T\ A=I_2 .

If (i) A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] , then verify that AprimeA = I .(ii) A=[[sinalpha,cosalpha],[-cosalpha,sinalpha]] , then verify that AprimeA = I .

If (i) A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] , then verify that AprimeA" "=" "I . (ii) A=[[sinalpha,cosalpha],[-cosalpha,sinalpha]] , then verify that AprimeA" "=" "I .

If A = {:[(cosalpha, sinalpha),(-sinalpha, cosalpha)] , then find A^2

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1) , find alpha .

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1) , find alpha