Question: 1. Bay 1999, Problem 3.6. Consider the vectors in R*: 2 1 8 x,= |-1], x2 = . x3= |] 5], 2 1 7 and

1. Bay 1999, Problem 3.6. Consider the vectors in 1. Bay 1999, Problem 3.6. Consider the vectors in R*: 2 1 8 x,= |-1], x2 = . x3= |] 5], 2 1 7 and the vectors in R*: 1 2 5 3 2 _ |-6 11 1]? 73 1}? Io 3 / 0 Z 10 where 7x; = y;, for i= 1,2,3. (a) Write the matrix of the operator T : IR? R? in the basis {x1,X2,x3} for IR? and the standard basis for R*. (b) Write the matrix of the operator T in the standard basis in R and the standard basis in R*. (c) Find the rank and degeneracy of T. (d) Find a basis for the null space of T. (e) Find a basis for the range space of T

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