Calculate the following determinants using cofactors. a. det 1 3 5 6 4 2 2 5 1 b. det 1

Linear Algebra: A Geometric Approach | 2nd Edition | ISBN: 9781429215213 | Authors: Ted Shifrin, Malcolm Adams

ISBN: 9781429215213 438

Solution for problem 1 Chapter 5.2

Linear Algebra: A Geometric Approach | 2nd Edition

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Problem 1

Calculate the following determinants using cofactors. a. det 1 3 5 6 4 2 2 5 1 b. det 1 1 0 1 0 2 1 1 2 2 2 3 0 0 6 2 c. det 1 4 1 3 2 10 0 1 0 0 2 2 0 0 2 1 d. det 2 1 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1 2

Step-by-Step Solution:

Step 1 of 3

S343 Section 3.4 Notes- Repeated Roots of the Characteristic Equation; Reduction of Order 10-4-16  For + + = 0 and characteristic equation + + = 0, repeated roots occur when − 4 = 0 − o Follows from quadratic formula that 1 = 2= 2 − o Both roots give solution1 = 2, not obvious how to find second solution ′′ ′  Ex. 2 − 6 + 9 = 0 o − 6 + 9 = 0 ( − 3 − 3 = 0 = 3 with multiplicity 2 3 o

Step 2 of 3

Chapter 5.2, Problem 1 is Solved

Step 3 of 3

Textbook: Linear Algebra: A Geometric Approach

Edition: 2

Author: Ted Shifrin, Malcolm Adams

ISBN: 9781429215213

This full solution covers the following key subjects: . This expansive textbook survival guide covers 31 chapters, and 547 solutions. This textbook survival guide was created for the textbook: Linear Algebra: A Geometric Approach, edition: 2. The answer to “Calculate the following determinants using cofactors. a. det 1 3 5 6 4 2 2 5 1 b. det 1 1 0 1 0 2 1 1 2 2 2 3 0 0 6 2 c. det 1 4 1 3 2 10 0 1 0 0 2 2 0 0 2 1 d. det 2 1 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1 2” is broken down into a number of easy to follow steps, and 80 words. Linear Algebra: A Geometric Approach was written by and is associated to the ISBN: 9781429215213. Since the solution to 1 from 5.2 chapter was answered, more than 217 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 1 from chapter: 5.2 was answered by , our top Math solution expert on 03/15/18, 05:30PM.