Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.4 - The Algebra of Matrices - 10.4 Exercises - Page 721: 23

Answer

$a.\qquad\left[\begin{array}{rrr} 5 & -2 & 5\\ 1 & 1 & 0 \end{array}\right]$ $ b.\qquad$B+F is not defined.

Work Step by Step

$a.$ $B+C=\left[\begin{array}{lll} 3 & 1/2 & 5\\ 1 & -1 & 3 \end{array}\right]+\left[\begin{array}{lll} 2 & -5/2 & 0\\ 0 & 2 & -3 \end{array}\right]=\left[\begin{array}{lll} 5 & -2 & 5\\ 1 & 1 & 0 \end{array}\right]$ $b.$ B is a 2$\times$3 matrix, F is a 3$\times$3 matrix. Addition is defined only for matrices with the same dimension. B+F is not defined.
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