Question Help ▼ Let H= Span {v,,v2} and B= {v1,v2). Show that x is in H, and find the B-coordinate vector of x, when v,, v2, and x are as shown below. 12 15 19 -6 - 9 - 13 V1 = V2 11 14 18 12 16 The given vector x is in H if the vector equation x = c,v, + cV2 is consistent for some c, and c. To show that this vector equation is consistent, form the augmentec matie [v, ] V, V2 x and row reduce it to determine if c, and c2 exist. Row reduce the augmented matrix identified in the previous step to reduced echelon form.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.CR: Chapter Review
Problem 5CC
icon
Related questions
Topic Video
Question

Only the last part thanks in advance

Question Help
Let H= Span (v1.V2}
and B= {v1.v2}. Show that x is in H, and find the B-coordinate vector of x, when v,, vɔ, and x are as shown below.
12
15
19
13
V1 =
V2
11
14
18
12
16
The given vector x is in H if the vector equation x=c, v, +C2V2 is consistent for some c, and c2. To show that this vector equation is consistent, form the augmented
matrix
V, V2 x
and row reduce it to determine if c, and c, exist.
Row reduce the augmented matrix identified in the previous step to reduced echelon form.
(Simplify your answer.)
nter your answer in the answer box and then click Check Answer.
Transcribed Image Text:Question Help Let H= Span (v1.V2} and B= {v1.v2}. Show that x is in H, and find the B-coordinate vector of x, when v,, vɔ, and x are as shown below. 12 15 19 13 V1 = V2 11 14 18 12 16 The given vector x is in H if the vector equation x=c, v, +C2V2 is consistent for some c, and c2. To show that this vector equation is consistent, form the augmented matrix V, V2 x and row reduce it to determine if c, and c, exist. Row reduce the augmented matrix identified in the previous step to reduced echelon form. (Simplify your answer.) nter your answer in the answer box and then click Check Answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning