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4. (a) Consider the linear transformation T: R + R? that sends (E) - B- - (E) -F)- T Write down the standard matrir A for T. (b) Compute the following, or erplain why the operations don't make sense: AAT, AT A, AA" + A" A. (c) What is b T

4. (a) Consider the linear transformation T: R + R? that sends (E) - B- - (E) -F)- T Write down the standard matrir A for T. (b) Compute the following, or erplain why the operations don't make sense: AAT, AT A, AA" + A" A. (c) What is b T

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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4. (a) Consider the linear transformation T: R + R? that sends (E) - B- T Write down the standard matrir A for T. (b) Compute the following, or erplain why the operations don't make sense: AAT, ATA, AA" + A"A. (c) What is b = T (d) Let a = Draw and label the vectors a, b, -a, and b-a on a set of coordinate ares.
Transcribed Image Text:4. (a) Consider the linear transformation T: R + R? that sends (E) - B- T Write down the standard matrir A for T. (b) Compute the following, or erplain why the operations don't make sense: AAT, ATA, AA" + A"A. (c) What is b = T (d) Let a = Draw and label the vectors a, b, -a, and b-a on a set of coordinate ares.
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