H.Melikian/12001 Linear Algebra II Dr.Hayk Melikyan/ Departmen of Mathematics and CS/...
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Transcript of H.Melikian/12001 Linear Algebra II Dr.Hayk Melikyan/ Departmen of Mathematics and CS/...
H.Melikian/1200 1
Linear Algebra II
Dr .Hayk Melikyan/ Departmen of Mathematics and CS/ [email protected]
Linear Transformations and Matrices (Sec 2.7)
Composition and Invertibility of Linear Transformations (Sec 2.8
H.Melikian/1200 2
Functions and Mappings
H.Melikian/1200 3
Transformations Induced by Matrices
H.Melikian/1200 4
Properties of Matrix Transformation
H.Melikian/1200 5
Linear Transformations
H.Melikian/1200 6
Properties of Linear Transformations
H.Melikian/1200 7
Composition and Invertibility of Linear Transformations (Sec 2.8)
H.Melikian/1200 8
Properties of onto Maps
H.Melikian/1200 9
One-to-one maps and Null Space of Transformation
H.Melikian/1200 10
Example.
Determine whether the given linear transformation is one-to-one, onto or both
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Composition of Maps
H.Melikian/1200 12
Composition of Matrix transformations
H.Melikian/1200 13
Invertibility of Linear Transformation