1 3 - 1 3 - 9 -8 Let P = -3 -5 V1 = 4 V2 = 6 and v3 = 2 Complete parts (a) and (b). 4 1 2 7 a. Find a basis fuq, u2, uz} for R° such that P is the change-of-coordinates matrix from fu1, u2, u3) to the basis (v1, v2, V3}. [Hint: What do the columns of C+B P represent?] u, =U, u2 =U u3 =

2 0 1 4 5 30x3 = 43 = (25² 0 ..] Can we use Cramer's Rule to check if the column vectors of A are linearly (in)dependent? Explain why or why not and regardless, identify all linearly independent column vectors in A. *Derive the vector x3 in Ax3 = b by two different methods (please show the essential calculations- outlining the method(s) isn't enough to get you credit).