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6. For each of the following matrices A, describe the associated matrix transformation T geometrically. (Determine what it does to the standard basis vectors of R", and draw picture. Then describe what it is doing in your own words in a sentence or two.) 0 0 1 100 (a) A = 010 1 0 (b) A = 0 1 0 0 10 000 (c) A =

6. For each of the following matrices A, describe the associated matrix transformation T geometrically. (Determine what it does to the standard basis vectors of R", and draw picture. Then describe what it is doing in your own words in a sentence or two.) 0 0 1 100 (a) A = 010 1 0 (b) A = 0 1 0 0 10 000 (c) A =

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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6. For each of the following matrices A, describe the associated matrix transformation TA geometrically. (Determine what it does to the standard basis vectors of R", and draw a picture. Then describe what it is doing in your own words in a sentence or two.) 0 0 1 00 0 1 0 (a) A = 1 (b) A = (c) A = 1 0 (69) 01 0 0 00 8)
Transcribed Image Text:6. For each of the following matrices A, describe the associated matrix transformation TA geometrically. (Determine what it does to the standard basis vectors of R", and draw a picture. Then describe what it is doing in your own words in a sentence or two.) 0 0 1 00 0 1 0 (a) A = 1 (b) A = (c) A = 1 0 (69) 01 0 0 00 8)
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