# Definition of linear transformation, arbitrary vector space

math.la.d.lintrans.arb

# Why an abstract linear transformation maps 0 to 0

Two proofs, with discussion, of the fact that an abstract linear transformation maps 0 to 0.

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Created On
February 15th, 2017
7 years ago
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2
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Handout
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Pre-class
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Proof
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English
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# Linear transformations and matrices | Essence of linear algebra, chapter 3

Matrices can be thought of as transforming space, and understanding how this work is crucial for understanding many other ideas that follow in linear algebra...

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Created On
May 25th, 2017
7 years ago
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2
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Video
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Pre-class
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Introduction
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English
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# Lagrange Interpolation - Ximera

This is a guided discovery of the formula for Lagrange Interpolation, which lets you find the formula for a polynomial which passes through a given set of points.

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Created On
June 8th, 2017
6 years ago
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2
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Handout
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Application
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English
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# Column space of a matrix

Definition of the column space of a matrix; column space is a subspace; comparison to the null space; definition of a linear transformation between vector spaces; definition of kernel and range of a linear transformation

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Created On
August 25th, 2017
6 years ago
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3
Type
Video
Language
English
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text/html; charset=utf-8

# Linear Transformations - A First Course in Linear Algebra

Early in Chapter VS we prefaced the definition of a vector space with the comment that it was “one of the two most important definitions in the entire course.” Here comes the other. Any capsule summary of linear algebra would have to describe the subject as the interplay of linear transformations and vector spaces. Here we go.