College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Matrices and Determinants - Exercise Set 6.3 - Page 626: 65

Answer

The order of the matrix gives us information on how its rows and columns are structured. A matrix of order $m\times n$ has $m$ rows and $n$ columns. (examples in the step-by-step section)

Work Step by Step

A matrix is a set of numbers, arranged into rows and columns, placed in brackets. The numbers inside the brackets are called elements of the matrix. The order of the matrix gives us information on how its rows and columns are structured. A matrix of order $m\times n$ has $m$ rows and $n$ columns. Example: $\left[\begin{array}{ll} 1 & 2\\ 3 & 4\\ 5 & 6 \end{array}\right]$ is a 3$\times$2 matrix, while $\left[\begin{array}{lll} 1 & 2 & 3\\ 4 & 5 & 6 \end{array}\right]$ is a 2$\times$3 matrix
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