Let `A=[0-tan(alpha//2)tan(alpha//2)0]` and `I` be the identity matrix of order 2. Show that `I+A=(I-A)[cosalpha-sinalphasinalphacosalpha]` .

Let A=[(0,-tan(alpha/2)),(tan(alpha/2),0)] and I be the identity matrix of order 2. Show that I+A=(I-A)[cosalpha-sin alpha sin alpha cosalpha] .

If A=[(0,-tan (alpha/2)),(tan (alpha/2),0)] and I is 2 xx 2 unit matrix, then (I-A)[(cos alpha,-sin alpha),(sin alpha, cos alpha)] is

If 0 lt alpha lt pi/2 then show that tanalpha+cotalphagtsinalpha+cosalpha

If A=[[2,-1],[-1, 2]] and I is the identity matrix of order 2, then show that A^2=4A-3I Hence find A^(-1) .

Let a be a matrix of order 2xx2 such that A^(2)=O . (I+A)^(100) =

If A=[ [0,-tan((alpha)/2)],[tan(alpha/2),0]] then (I-A)[[cosalpha,-sinalpha],[sinalpha,cosalpha]] =

If A= [[cosalpha,sinalpha],[-sinalpha,cosalpha]] then show that A^2=[[cos2alpha,sin2alpha],[-sin2alpha,cos2alpha]]

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

If A=[[cosalpha, -sin alpha] , [sin alpha, cos alpha]] then A+A'=I then alpha=