If n<m then every linear map T: IRn -> IRm is one-to-one. Is this statement true or false?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 15EQ
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If n<m then every linear map T: IRn -> IRis one-to-one. Is this statement true or false?

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