1. Let T: R³ R³ be the linear transformation given by X1 (B)-E x2 x1 + 2x2 + x3 x1 + 3x2 + 2x3 2x1 + 5x2 + 3x3 X3 (a) Find a basis for the kernel of T, then find x ‡ y in R³ such that T(x) = T(y). (b) Find a basis for the range of T, then find v € R³ such that v is not in the range of T. T

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