T: R > R Known linear transformation defined with equations TI [X1, X2, X3]: [2x1- X2, -2x3+ X1, -X2+3x1] T2 [X1, X2, X3] : [x1+ X2-2x3, X3, X1+X2] T, T2 Does have an inverse? If yes determine A ,if not prove and give an explanation!

Q: 2a + 56+ c -a – 36 – 2c) 3a + 7b +c -4a – 96 - c, 2. T(а + bx + сх*).

A: The solution is given by using rank nullity theorem and null space as follows :

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A: Answer

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A: See the attachment

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