(a) Show that B {[2, 3, 0,1],[1, 1, 1,1]} is a maximal linearly independent subset of...

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(a) Show that B {[2, 3, 0,1],[1, 1, 1,1]} is a maximal linearlyindependent subset of S {[1, 4, 1,2],[1, 1, 1,1],[3, 2,1, 0],[2, 3,0,1]}.
(b) Calculate dim(span(S)).
(c) Does span(S) R4? Why or why not?

Answer & Explanation Solved by verified expert

3.7 Ratings (633 Votes)

a A set of vectors is maximally linearly independent if including any other vector in the vector space would make it linearly dependent It may be observed See Answer

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(a) Show that B {[2, 3, 0,1],[1, 1, 1,1]} is a maximal linearly independent subset of...

60.1K

Verified Solution

Question

Basic Math

(a) Show that B {[2, 3, 0,1],[1, 1, 1,1]} is a maximal linearlyindependent subset of S {[1, 4, 1,2],[1, 1, 1,1],[3, 2,1, 0],[2, 3,0,1]}.
(b) Calculate dim(span(S)).
(c) Does span(S) R4? Why or why not?

Answer & Explanation Solved by verified expert

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(a) Show that B {[2, 3, 0,1],[1, 1, 1,1]} is a maximal linearly independent subset of...

60.1K

Verified Solution

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Basic Math

(a) Show that B {[2, 3, 0,1],[1, 1, 1,1]} is a maximal linearlyindependent subset of S {[1, 4, 1,2],[1, 1, 1,1],[3, 2,1, 0],[2, 3,0,1]}.(b) Calculate dim(span(S)).(c) Does span(S) R4? Why or why not?

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(a) Show that B {[2, 3, 0,1],[1, 1, 1,1]} is a maximal linearlyindependent subset of S {[1, 4, 1,2],[1, 1, 1,1],[3, 2,1, 0],[2, 3,0,1]}.
(b) Calculate dim(span(S)).
(c) Does span(S) R4? Why or why not?