If (i) `A=[cosalphasinalpha-sinalphacosalpha]` , then verify that `AprimeA" "=" "I` . (ii) `A=[sinalphacosalpha-cosalphasinalpha]` , 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=[[cos alpha,sin alpha],[-sin alpha,cos alpha]] then verify that A'A=I

If A=[cos alpha sin alpha-sin alpha cos alpha], then verify that A^(T)A=I_(2)

If A,=[[sin alpha,cos alpha-cos alpha,sin alpha]], verify that A^(T)A=I_(2)

If A=[cos alpha-sin alpha0sin alpha cos alpha0001], find adj A and verify that A(adjA)=(adjA)A=|A|I_(3)

If A_alpha=[cosalphasinalpha-sinalphacosalpha],t h e nA_alphaA_beta= (a)A_(alpha+beta) (b) A_(alphabeta) (c) A_(alpha-beta) (D) None of these

Find the adjoint of the following matrices: [1tan alpha sin alpha sin alpha cos alpha]( ii) [1tan alpha/2-tan alpha/21] Verify that (adjA)A=|A|I=A(adjA) for the above matrices.

if z=3 -2i, then verify that (i) z + barz = 2Rez (ii) z - barz = 2ilm z

Verify that A(adjA)=I when : A=[{:(cos theta, -sintheta,0),(sintheta,costheta,0),(0,0,1):}]

Find the inverse of A=[133143134] and verify that A^(-1)A=I_(3)