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Posted: **Thu May 12, 2022 12:50 pm**

: Let U And V Denote Vector Spaces Over The Field F Suppose 0 U V Is A Linear Transformation Prove If Q1 An Is 1 (30.04 KiB) Viewed 27 times

Let U and V denote vector spaces over the field F. Suppose 0:U → V is a linear transformation. Prove: If {Q1,..., An} is a basis of U and {olai),...,0(an)} is linearly independent in V, then o is a monomorphism.