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(Solved): Exercise 13. Determine which of the these formulas for T:R^(3)->R^(2) is a linear operator. If so ...



Exercise 13. Determine which of the these formulas for

T:R^(3)->R^(2)

is a linear operator. If so, write the operator as a matrix multiplication and determine whether the target of

T

equals its range. Here

x=(x,y,z)

and

T(x)

follows. (a)

(x,x 2y-4z)

(b)

(x y,xy)

(c)

(y,y)

(d)

x(0,y)

(e)

(siny,cosz)


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