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Linear Algebra II

Dr .Hayk Melikyan/ Departmen of Mathematics and CS/ melikyan@nccu.edu

Linear Transformations and Matrices (Sec 2.7)

Composition and Invertibility of Linear Transformations (Sec 2.8

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Functions and Mappings

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Transformations Induced by Matrices

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Properties of Matrix Transformation

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Linear Transformations

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Properties of Linear Transformations

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Composition and Invertibility of Linear Transformations (Sec 2.8)

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Properties of onto Maps

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One-to-one maps and Null Space of Transformation

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Example.

Determine whether the given linear transformation is one-to-one, onto or both

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Composition of Maps

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Composition of Matrix transformations

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Invertibility of Linear Transformation