1. Suppose that A = [u]. U2, U3,44 4 -3 9 -77 2 6 5 3 -4 2 9 8 -6 18 -14 reduces to R= 1 0 5 0 1 0 0 0 0 1 -3 0 0 0 0 (a

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1 Suppose That A U U2 U3 44 4 3 9 77 2 6 5 3 4 2 9 8 6 18 14 Reduces To R 1 0 5 0 1 0 0 0 0 1 3 0 0 0 0 A 1 (48.93 KiB) Viewed 18 times

1. Suppose that A = . U2, U3,44 4 -3 9 -77 2 6 5 3 -4 2 9 8 -6 18 -14 reduces to R= 1 0 5 0 1 0 0 0 0 1 -3 0 0 0 0 (a) (2 points) Is the set of all columns of A a linearly independent set? justify (b) (2 points) Find a basis for Col(A), and write it as a span. (c) (4 points) Write uy as a linear combination of the basis vectors of Col(A) (d) (3 points) Find a basis for Null(A) and write it as a span. (e) (4 points) Is Col(A) all of R4 ?justify your answer (f) (2 points) What is the rank of A and the nullity of A? (g) (3 points) Is the set of vectors {u1, U3, ug} linearly dependent or independent? Justify.