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Matrix addition and scalar multiplication

Two matrices of the same shape can be added or subtracted by adding (or subtracting) corresponding entries.

 MATH

MATH

To multiply a matrix by a scalar, multiply each entry by the scalar.MATH$\allowbreak $

These operations on matrices became the basis for what is now called linear algebra.

A vector can be represented as a matrix having only one row or column, and the operations on these matrices coincide with the operations on the vectors.


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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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