Lect21 - Chapter 4. Linear Transformations Math1111...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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

This note was uploaded on 09/06/2010 for the course MATH MATH1111 taught by Professor Forgot during the Fall '08 term at HKU.

Page1 / 16

Lect21 - Chapter 4. Linear Transformations Math1111...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online