1. Consider the sets of vectors: A = (3,6,30),(9,15,81),(-2, – 8, – 34)}. |B = {(- 1, – 5, – 24),(-4, – 19, – 91),(-6, – 24, – 111)}, Witch form two bases of R. 40 9 -- -- 3. a) Calculate the coordinates in the canonical base of R° of the vector V = ( 3 ,3, 2 )A expressed in base A b) Calculate the coordinates of the vector V = (-4,1, – 4) at bases A and B. c) Calculate the base change matrix from B to A d) Consider the vector w given by the coordinates W = (-3,2, – 4), at base B. Calculate the coordinates of this vector at base A.
1. Consider the sets of vectors: A = (3,6,30),(9,15,81),(-2, – 8, – 34)}. |B = {(- 1, – 5, – 24),(-4, – 19, – 91),(-6, – 24, – 111)}, Witch form two bases of R. 40 9 -- -- 3. a) Calculate the coordinates in the canonical base of R° of the vector V = ( 3 ,3, 2 )A expressed in base A b) Calculate the coordinates of the vector V = (-4,1, – 4) at bases A and B. c) Calculate the base change matrix from B to A d) Consider the vector w given by the coordinates W = (-3,2, – 4), at base B. Calculate the coordinates of this vector at base A.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 17EQ
Related questions
Question
question 1
plz provide handwritten answer for part c and d asap
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning