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AlgebraElements Of Modern Algebra8th Edition

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Chapter 1.6, Problem 10E
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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

Solutions

Chapter
Section
Problem 1TFE
Problem 2TFE
Problem 3TFE
Problem 4TFE
Problem 5TFE
Problem 6TFE
Problem 7TFE
Problem 8TFE
Problem 9TFE
Problem 10TFE
Problem 11TFE
Problem 12TFE
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
1 views

Find two nonzero matrices A and B such that A B = B A .

To determine

Two non-zero matrices A and B such that AB=BA

Explanation

Formula used:

Definition: Matrix multiplication

The product of m×n matrix A over ℝ and n×p matrix B over ℝ is m×p matrix C=AB, where the element cij in row i and column j of AB is found by using the elements in row i of A, and the elements in column j of B in the following manner:

                                                                              column j of B        column j of Crow  i  of A[⋮⋮⋮⋮ai1ai2ai3⋯ain⋮⋮⋮⋮]⋅[⋯b1j⋯⋯b2j⋯⋯b3j⋯⋮⋯bnj⋯]=[⋮⋯cij⋯⋮]row  i of C

Where cij=ai1b1j+ai2b2j+  ⋯  + ainbnj

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Chapter 1.6,
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Sect-1.1 P-1TFESect-1.1 P-2TFESect-1.1 P-3TFESect-1.1 P-4TFESect-1.1 P-5TFESect-1.1 P-6TFESect-1.1 P-7TFESect-1.1 P-8TFESect-1.1 P-9TFESect-1.1 P-10TFE
Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-6ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11ESect-1.1 P-12ESect-1.1 P-13ESect-1.1 P-14ESect-1.1 P-15ESect-1.1 P-16ESect-1.1 P-17ESect-1.1 P-18ESect-1.1 P-19ESect-1.1 P-20ESect-1.1 P-21ESect-1.1 P-22ESect-1.1 P-23ESect-1.1 P-24ESect-1.1 P-25ESect-1.1 P-26ESect-1.1 P-27ESect-1.1 P-28ESect-1.1 P-29ESect-1.1 P-30ESect-1.1 P-31ESect-1.1 P-32ESect-1.1 P-33ESect-1.1 P-34ESect-1.1 P-35ESect-1.1 P-36ESect-1.1 P-37ESect-1.1 P-38ESect-1.1 P-39ESect-1.1 P-40ESect-1.1 P-41ESect-1.1 P-42ESect-1.1 P-43ESect-1.2 P-1TFESect-1.2 P-2TFESect-1.2 P-3TFESect-1.2 P-4TFESect-1.2 P-5TFESect-1.2 P-6TFESect-1.2 P-7TFESect-1.2 P-8TFESect-1.2 P-9TFESect-1.2 P-1ESect-1.2 P-2ESect-1.2 P-3ESect-1.2 P-4ESect-1.2 P-5ESect-1.2 P-6ESect-1.2 P-7ESect-1.2 P-8ESect-1.2 P-9ESect-1.2 P-10ESect-1.2 P-11ESect-1.2 P-12ESect-1.2 P-13ESect-1.2 P-14ESect-1.2 P-15ESect-1.2 P-16ESect-1.2 P-17ESect-1.2 P-18ESect-1.2 P-19ESect-1.2 P-20ESect-1.2 P-21ESect-1.2 P-22ESect-1.2 P-23ESect-1.2 P-24ESect-1.2 P-25ESect-1.2 P-26ESect-1.2 P-27ESect-1.2 P-28ESect-1.3 P-1TFESect-1.3 P-2TFESect-1.3 P-3TFESect-1.3 P-4TFESect-1.3 P-5TFESect-1.3 P-6TFESect-1.3 P-1ESect-1.3 P-2ESect-1.3 P-3ESect-1.3 P-4ESect-1.3 P-5ESect-1.3 P-6ESect-1.3 P-7ESect-1.3 P-8ESect-1.3 P-9ESect-1.3 P-10ESect-1.3 P-11ESect-1.3 P-12ESect-1.4 P-1TFESect-1.4 P-2TFESect-1.4 P-3TFESect-1.4 P-4TFESect-1.4 P-5TFESect-1.4 P-6TFESect-1.4 P-7TFESect-1.4 P-8TFESect-1.4 P-9TFESect-1.4 P-1ESect-1.4 P-2ESect-1.4 P-3ESect-1.4 P-4ESect-1.4 P-5ESect-1.4 P-6ESect-1.4 P-7ESect-1.4 P-8ESect-1.4 P-9ESect-1.4 P-10ESect-1.4 P-11ESect-1.4 P-12ESect-1.4 P-13ESect-1.4 P-14ESect-1.4 P-15ESect-1.4 P-16ESect-1.5 P-1TFESect-1.5 P-2TFESect-1.5 P-3TFESect-1.5 P-1ESect-1.5 P-2ESect-1.5 P-3ESect-1.5 P-4ESect-1.5 P-5ESect-1.5 P-6ESect-1.5 P-7ESect-1.5 P-8ESect-1.5 P-9ESect-1.5 P-10ESect-1.6 P-1TFESect-1.6 P-2TFESect-1.6 P-3TFESect-1.6 P-4TFESect-1.6 P-5TFESect-1.6 P-6TFESect-1.6 P-7TFESect-1.6 P-8TFESect-1.6 P-9TFESect-1.6 P-10TFESect-1.6 P-11TFESect-1.6 P-12TFESect-1.6 P-1ESect-1.6 P-2ESect-1.6 P-3ESect-1.6 P-4ESect-1.6 P-5ESect-1.6 P-6ESect-1.6 P-7ESect-1.6 P-8ESect-1.6 P-9ESect-1.6 P-10ESect-1.6 P-11ESect-1.6 P-12ESect-1.6 P-13ESect-1.6 P-14ESect-1.6 P-15ESect-1.6 P-16ESect-1.6 P-17ESect-1.6 P-18ESect-1.6 P-19ESect-1.6 P-20ESect-1.6 P-21ESect-1.6 P-22ESect-1.6 P-23ESect-1.6 P-24ESect-1.6 P-25ESect-1.6 P-26ESect-1.6 P-27ESect-1.6 P-28ESect-1.6 P-29ESect-1.6 P-30ESect-1.6 P-31ESect-1.6 P-32ESect-1.7 P-1TFESect-1.7 P-2TFESect-1.7 P-3TFESect-1.7 P-4TFESect-1.7 P-5TFESect-1.7 P-6TFESect-1.7 P-1ESect-1.7 P-2ESect-1.7 P-3ESect-1.7 P-4ESect-1.7 P-5ESect-1.7 P-6ESect-1.7 P-7ESect-1.7 P-8ESect-1.7 P-9ESect-1.7 P-10ESect-1.7 P-11ESect-1.7 P-12ESect-1.7 P-13ESect-1.7 P-14ESect-1.7 P-15ESect-1.7 P-16ESect-1.7 P-17ESect-1.7 P-18ESect-1.7 P-19ESect-1.7 P-20ESect-1.7 P-21ESect-1.7 P-22ESect-1.7 P-23ESect-1.7 P-24ESect-1.7 P-25ESect-1.7 P-26ESect-1.7 P-27ESect-1.7 P-28ESect-1.7 P-29ESect-1.7 P-30E

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