Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

5th Edition

ISBN: 9780134689531

Author: Lee Johnson, Dean Riess, Jimmy Arnold

Publisher: PEARSON

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In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…

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Textbook Question

Chapter 1.7, Problem 46E

In Exercises 46-47, let $S = { v 1 , v 2 , v 3 }$ .

a) for what value(s) $a$ is the set $S$ linearly dependent?

b) for what value(s) $a$ can $v 3$ expressed as a linear combination of $v 1$ and $v 2$

$v 1 = 1 - 1$ , $v 2 = - 2 2$ , $v 3 = 3 a$

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Chapter 1.7, Problem 45E

Chapter 1.7, Problem 47E

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Chapter 1 Solutions

Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

Ch. 1.1 - Which of the equations in Exercises 1-6 are...Ch. 1.1 - Which of the equations in Exercises 1-6 are...Ch. 1.1 - Which of the equations in Exercises 1-6 are...Ch. 1.1 - Which of the equations in Exercises 1-6 are...Ch. 1.1 - Which of the equations in Exercises 1-6 are...Ch. 1.1 - Which of the equations in Exercises 1-6 are...Ch. 1.1 - In Exercises 7-10, coefficients are given for a...Ch. 1.1 - In Exercises 7-10, coefficients are given for a...Ch. 1.1 - In Exercises 7-10, coefficients are given for a...Ch. 1.1 - In Exercises 7-10, coefficients are given for a...

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In Exercises 46-47, let S = { v 1 , v 2 , v 3 } . a) for what value(s) a is the set S linearly dependent? b) for what value(s) a can v 3 expressed as a linear combination of v 1 and v 2 v 1 = 1 - 1 , v 2 = - 2 2 , v 3 = 3 a

Solution Summary: The author explains how to identify the value of a for which the set S=leftmathbfv_1, math

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