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Linear Algebra With Applications
Found in: Page 107
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

The function T[xy]=[x-yy-x]is a linear transformation?

The given statement is true.

See the step by step solution

Step by Step Solution

Step 1: Definition of linear Transformation

Therefore, from Definition- A function T from Rm to Rnis called a linear transformation if there exists ann×m matrix A such that T(x)=Ax for all x in the vector space Rm .

Step 2: Check for the given statement

Notice that the given function can be representing as follows:


Hence, T is a linear transformation.

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