Monthly Archives: June 2015

Linear Algebra Step by Step Chapter 7

Posted on June 8, 2015 by Sumant Sumant

Proposition 7.3 If is an eigenvalue of a square matrix A with and eigenvector u then every non-zero scalar multiplication of u, such as ku, is also an eigenvector belonging to Proposition 7.4 If A is an n by n … Continue reading →

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Linear Algebra Step by Step Notes Chapter 1

Posted on June 7, 2015 by Sumant Sumant

Theorem 1.12 Properties of Matrix Addition Let A,B and C be matrices of the same size (m rows by n columns). Then There is an matrix called the zero matrix, denoted , which has the property There is a matrix … Continue reading →

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Linear Algebra: Step by Step notes

Posted on June 1, 2015 by Sumant Sumant

Chapter 4 For a general vector space, the inner product is denoted by rather than Definition: An inner product on a real vector space is an operation which assigns to each pair of vectors and which satisfies the following axioms … Continue reading →

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