Find the 4 by 3 matrix A that represents a right shift: (x₁,x2, x3) is transformed to (0, x₁, x2, x3). Find also the left shift matrix B from R¹ back to R³, transforming (x1, x2, x3, x4) to (x2, x3, x4). What are the products AB and BA?
Find the 4 by 3 matrix A that represents a right shift: (x₁,x2, x3) is transformed to (0, x₁, x2, x3). Find also the left shift matrix B from R¹ back to R³, transforming (x1, x2, x3, x4) to (x2, x3, x4). What are the products AB and BA?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![17. Find the 4 by 3 matrix A that represents a right shift: (x1,x2, x3) is transformed to
(0, x1,x2, x3). Find also the left shift matrix B from R4 back to R³, transforming
(x1,x2, x3, x4) to (x2, x3, x4). What are the products AB and BA?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff82c0bab-f337-4781-985d-1029c419adb6%2Fff1877dc-4251-4db7-aaa6-08d1381c2fc7%2Fz3mkmkk_processed.png&w=3840&q=75)
Transcribed Image Text:17. Find the 4 by 3 matrix A that represents a right shift: (x1,x2, x3) is transformed to
(0, x1,x2, x3). Find also the left shift matrix B from R4 back to R³, transforming
(x1,x2, x3, x4) to (x2, x3, x4). What are the products AB and BA?
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