T(1,0)=(1,4), T(1,1)=(2,5) Remember that T: R^2 - R^2 is a linear transformation Find: a. T(a,b) b. T(3,5) c. Null(T) d. Range

Question

T(1,0)=(1,4), T(1,1)=(2,5)
Remember that T: R^2 -> R^2 is a linear transformation
Find:
a. T(a,b)
b. T(3,5)
c. Null(T)
d. Range
e. Is T onto? Why?
f. Is T one-to-one? Why?

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T(1,0)=(1,4), T(1,1)=(2,5) Remember that T: R^2 -> R^2 is a