Let T: R2 -> R2 be a linear transformation defined by T(x1 , x2) = (x1 +...

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Let T: R2 -> R2 be a lineartransformation defined by T(x1 , x2) =(x1 + 2x2 , 2x1 +4x2)

a. Find the standard matrix of T.

b. Find the ker(T) and nullity (T).

c. Is T one-to-one? Explain.

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