Question: The linear operator T: R R is defined by the following equation Wi = 2x1 + 2x2 + 3x3 W2 = -x1 x2+x3 w3

The linear operator T: R R is defined by the following equation

The linear operator T: R R is defined by the following equation Wi = 2x1 + 2x2 + 3x3 W2 = -x1 x2+x3 w3 = -3x1 2x2 x3 Which of the following is correct. (a) T is not one to one. (b) T is one to one but the standard matrix for T-1 does not exist. -1 (c) T is one to one and its standard matrix for T-1 is 2 3 (d) T is one to one and its standard matrix for T-1 is -1 -1 1 -3 -2 -1 (e) None of these a b e

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