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Lect21

# Lect21 - Chapter 4 Linear Transformations Math1111...

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Chapter 4. Linear Transformations Math1111 Definitions & Examples Linear Transformation - Example Example . Let L : 2 3 be defined as L (( a b ) T ) = ( b 0 a ) T . Show that L is a linear transformation.

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Chapter 4. Linear Transformations Math1111 Definitions & Examples Linear Transformation - Example Example . Let L : 2 3 be defined as L (( a b ) T ) = ( b 0 a ) T . Show that L is a linear transformation. Solution . L is a function from 2 into 3 .
Chapter 4. Linear Transformations Math1111 Definitions & Examples Linear Transformation - Example Example . Let L : 2 3 be defined as L (( a b ) T ) = ( b 0 a ) T . Show that L is a linear transformation. Solution . L is a function from 2 into 3 . Remains to check: for any u , v 2 and for any scalars α , β , L ( α u + β v ) ? = α L ( u ) + β L ( v ) .

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Chapter 4. Linear Transformations Math1111 Definitions & Examples Linear Transformation - Example Example . Let L : 2 3 be defined as L (( a b ) T ) = ( b 0 a ) T . Show that L is a linear transformation. Solution . L is a function from 2 into 3 . Remains to check: for any u , v 2 and for any scalars α , β , L ( α u + β v ) ? = α L ( u ) + β L ( v ) .
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Lect21 - Chapter 4 Linear Transformations Math1111...

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