Let S = {v 1 , v 2 , .... , v k } be a basis

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Let S = {v₁, v₂, .... , v_k} be a basis for the subspace W of Rⁿ. Then a basis T for Rⁿ that contains S can be found by applying the method of Example 5 to the vectors

v₁, v₂, ......, v_k, e₁, e₂, ......, e_n.

Do this in Problems 17–20.

Find a basis T for R⁴ that contains the vectors v₁ = (1 , 1 , 1 , 1) and v₂ = (2 , 3 , 3 , 3).

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Aug 07, 2023 02:20 PM

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Let S = {v 1 , v 2 , .... , v k } be a basis

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Differential Equations And Linear Algebra

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