Math 54, Quiz 5 Section 101 GSI CarterName:1. Consider the following matrix.A =2 0 52 −1 3−4 4 −2(a) Find a basis for RS(A).(b) Find a basis for NS(A).(c) Find rk(A).12. Let f1= x2− x − 2, f2= x − 2, and f3= 2x2− 8x + 8. Find a basis for Span{f1, f2,
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