Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
e) Let C be a new base of R3. If the base change matrix, from base A to base C is - 10 55 32 35 -5 3 2 -5 25 21 calculate the coordinates of the vector v in section 1 on the base C.

e) Let C be a new base of R3. If the base change matrix, from base A to base C is - 10 55 32 35 -5 3 2 -5 25 21 calculate the coordinates of the vector v in section 1 on the base C.

Linear Algebra: A Modern Introduction
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
See similar textbooks
icon
Related questions
Question

ques 1 

plz provide handwritten answer for part e

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 - - - - a) Calculate the coordinates in the canonical base of R°of the vector V = ( 3 ,3, 2 JA 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. e) Let C be a new base of R3. If the base change matrix, from base A to base Cis - 10 55 32 35 -5 3 - - -5 25 21 calculate the coordinates of the vector v in section 1 on the base C.
Transcribed Image Text: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 - - - - a) Calculate the coordinates in the canonical base of R°of the vector V = ( 3 ,3, 2 JA 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. e) Let C be a new base of R3. If the base change matrix, from base A to base Cis - 10 55 32 35 -5 3 - - -5 25 21 calculate the coordinates of the vector v in section 1 on the base C.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS