Let T : R" -→ R" be a linear transformation. Which of the following statements is false? OT can be represented by an m x n matrix O T(c,x1 + c2X2) = c¡Tx1 + c2Tx2 |3D OT is uniquely determined by its action on any basis of R" OT maps vectors in R" to R"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let T : R" -→ R" be a linear transformation. Which of the following statements is false?
OT can be represented by an m x n matrix
O T(cix1 + c2X2) = CTX1 + c2Tx2
OT is uniquely determined by its action on any basis of R"
OT maps vectors in R" to R"
Transcribed Image Text:Let T : R" -→ R" be a linear transformation. Which of the following statements is false? OT can be represented by an m x n matrix O T(cix1 + c2X2) = CTX1 + c2Tx2 OT is uniquely determined by its action on any basis of R" OT maps vectors in R" to R"
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