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If A=[{:(0,"tan"(alpha)/(2)),("tan"(alph...

If `A=[{:(0,"tan"(alpha)/(2)),("tan"(alpha)/(2),0):}]`and I theidentity matrix of order 2, show that `I+A=(I-A)[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]`.

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If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}],andA^(-1)=A' , find value of alpha .

If (i) A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] then verify that A'A=I. (ii) A=[{:(sinalpha,cosalpha),(-cosalpha,sinalpha):}] then verify that A'A=I.

Knowledge Check

  • If A=[{:(alpha,beta),(gamma,-alpha):}] is such that A^(2)=I , then ……

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