Question

Let S = {v1, v2, ..., vk} 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, ..., vk, e1, e2, ..., en. Find a basis T for R4 that contains the vectors v1 = [4 4 4 4] and v2 = [1 2 2 2]. A basis T for R4 that contains the vectors is given by {[4 4 4 4], [1 2 2 2], [ ]}. (Use a comma to separate vectors as needed.)

          Let S = {v1, v2, ..., vk} 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, ..., vk, e1, e2, ..., en.
Find a basis T for R4 that contains the vectors v1 = [4 4 4 4] and v2 = [1 2 2 2].
A basis T for R4 that contains the vectors is given by {[4 4 4 4], [1 2 2 2], [ ]}.
(Use a comma to separate vectors as needed.)

Let S = v1, v2, ..., vk 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, ..., vk, e1, e2, ..., en.
Find a basis T for R4 that contains the vectors v1 = [4 4 4 4] and v2 = [1 2 2 2].
A basis T for R4 that contains the vectors is given by [4 4 4 4], [1 2 2 2], [ ].
(Use a comma to separate vectors as needed.)

Added by Beverly P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

01/23/2023

Step 1

Begin by creating a vector in R4 that is the sum of the two vectors V1 and V2. This vector will be denoted by T. Show more…

Show all steps

Thanks for your feedback!

Let S = {v1, v2, ..., vk} 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, ..., vk, e1, e2, ..., en. Find a basis T for R4 that contains the vectors v1 = [4 4 4 4] and v2 = [1 2 2 2]. A basis T for R4 that contains the vectors is given by {[4 4 4 4], [1 2 2 2], [ ]}. (Use a comma to separate vectors as needed.)