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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 7 (page 755)

True or False
The identity matrix has properties similar to
those of the real number 1.

Short Answer

Expert verified

False.

Step by step solution

01

Step 1. Given Information

An identity matrix.

02

Step 2. Calculation

$c o n s i d e r, A = [\begin{matrix} 1 & 3 \\ 2 & 4 \end{matrix}] A I_{2} = [\begin{matrix} 1 & 3 \\ 2 & 4 \end{matrix}] [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}] = [\begin{matrix} 1 脳 1 + 3 脳 0 & 1 脳 0 + 3 脳 1 \\ 2 脳 1 + 4 脳 0 & 2 脳 0 + 4 脳 1 \end{matrix}] = [\begin{matrix} 2 & 3 \\ 2 & 5 \end{matrix}] \sin c e e a c h e n t i t y i s n o t i n c r e a s e d b y o n e t h e r e f o r e i t s f a l s e .$

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