Question

Let,

: ; ( , , ) (2 , 2 , 7 4 )

3 3

T R  R T x y z  x  y  z x  y  z x  y  z

a) Test whether the transformation T are linear or not. [4.0]

b) Find the rank and nullity of T. [3.0+3.0 = 6.0]

c) Determine the matrix representation of T relative to the basis S = {w1,w2,w3} = {(1,1,1,) , (1,1,0) ,

(1,0,0)}. Also verify that [T]s[v]s = [T (v)]s for any vector v in R3

.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

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