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Confirm, complete, or correct the following definitions of the term in bold. Copy the given definition in your answer sheet. To confirm, clearly write “confirmed". To complete, clearly circle what you add. To correct, clearly cross out the incorrect part, and correct it. (a) Linear transformation from R" to R" is a mapping (i.e., a function) satisfying the following: • T(ī + j) = T(7)+T(j) for all i, jE R" (that is, "T respects addition"). • T(a7) = aT(F) for a nonzero a E R and i E R" (that is, “T respects scalar multiplication").

Confirm, complete, or correct the following definitions of the term in bold. Copy the given definition in your answer sheet. To confirm, clearly write “confirmed". To complete, clearly circle what you add. To correct, clearly cross out the incorrect part, and correct it. (a) Linear transformation from R" to R" is a mapping (i.e., a function) satisfying the following: • T(ī + j) = T(7)+T(j) for all i, jE R" (that is, "T respects addition"). • T(a7) = aT(F) for a nonzero a E R and i E R" (that is, “T respects scalar multiplication").

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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Confirm, complete, or correct the following definitions of the term in bold. Copy the given definition in your answer sheet. To confirm, clearly write “confirmed". To complete, clearly circle what you add. To correct, clearly cross out the incorrect part, and correct it. (a) Linear transformation from R" to R" is a mapping (i.e., a function) satisfying the following: • T(7 + j) = T(7)+T(j) for all i, jE R" (that is, "T respects addition"). • T(a7) = aT() for a nonzero a ER and i E R" (that is, “T respects scalar multiplication").
Transcribed Image Text:Confirm, complete, or correct the following definitions of the term in bold. Copy the given definition in your answer sheet. To confirm, clearly write “confirmed". To complete, clearly circle what you add. To correct, clearly cross out the incorrect part, and correct it. (a) Linear transformation from R" to R" is a mapping (i.e., a function) satisfying the following: • T(7 + j) = T(7)+T(j) for all i, jE R" (that is, "T respects addition"). • T(a7) = aT() for a nonzero a ER and i E R" (that is, “T respects scalar multiplication").
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