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Question 3 7 marks

By March 24, 2022No Comments

Question 3 7 marksFor the following linear operators T,find the matrix representation for T relative to thebasis B and determine the matrix representation for T’relative to the basis B’.Fully justify your answer.(a)LctT:R2→R2 is the rotation about the origin through an angle ofB is the standard basis and B’=(v1,vz)wherev-(方一(方方(b)LetT:R2→R2 be defined byT(x1,x2))=(x1+7×2,3×1-4×2)B=(v1,v2}and B’=(w,w2)}wherev1=(2,2),v2=(4-1)2,w1=(18,8)2,W2=(10.5)7

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