Question: Use Theorem 3 to determine if the following sets of vectors are a basis of the indicated space. (a) {[3 -1]T, [2 2]T}inR2. (b) {[1

Use Theorem 3 to determine if the following sets of vectors are a basis of the indicated space.
(a) {[3 -1]T, [2 2]T}inR2.
(b) {[1 1 -1]T, [1 -1 1]T, [0 0 l]T}inR3.
(c) {[-1 1 -l]T, [l -1 2]T, [0 0 l]T} in R3.
(d) {[5 2 -1]T,[1 0 1]T, [3 -1 0]T} in R3.
(e) {[2 1 -1 3]T, [1 1 0 2]T, [0 1 0 -3]T, [-12 3 l]T} in R4.
(f) {[1 0 -2 5]T, [4 4 -3 2]T, [0 1 0 -3]T, [1 3 3 -10]T}in R4.

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b Yes They are independent the matrix with them as columns has determinant 2 and so are ... View full answer

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