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Let T: UV be a linear transformation. Use the rank-nullity theorem to complete the information in the table below. U dim(U) rank (T) nullity (T) R1x3 3 1 Ex: 5 R2x2 Ex: 5 Ex: 5 3 R5x3 Ex: 5 Ex: 5 6

Let T: UV be a linear transformation. Use the rank-nullity theorem to complete the information in the table below. U dim(U) rank (T) nullity (T) R1x3 3 1 Ex: 5 R2x2 Ex: 5 Ex: 5 3 R5x3 Ex: 5 Ex: 5 6

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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Let T: U → V be a linear transformation. Use the rank-nullity theorem to complete the information in the table below. U dim(U) rank (T) nullity (T) R1x3 3 1 Ex: 5 R2x2 Ex: 5 Ex: 5 3 R5x3 Ex: 5 Ex: 5 6
Transcribed Image Text:Let T: U → V be a linear transformation. Use the rank-nullity theorem to complete the information in the table below. U dim(U) rank (T) nullity (T) R1x3 3 1 Ex: 5 R2x2 Ex: 5 Ex: 5 3 R5x3 Ex: 5 Ex: 5 6
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