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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
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?
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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