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Suppose three non-collinear points in R3 have non-zero position vectors a, b, and (3. Consider a linear transformation T : R3 > R3 satisfying T(a)

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Suppose three non-collinear points in R3 have non-zero position vectors a, b, and (3. Consider a linear transformation T : R3 > R3 satisfying T(a) = T(b) = T(c) % 0. (a) What is the nullity of T? 2 (b) Now suppose that 33 42 8 2 T 16 =T 21 =T 4 || 00 (c) Find the matrix A such that Ax = T(x) for all x E R3. A: IE END OF THIS

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