Let A be a matrix all of whose elements are integers. Show that if IAI = 1, then all the elements of A-1 are integers.
Step 1 of 3
Chapter 1.1 Applications of Linear Equations A strategy for solving applied problems 1. Read the problem as many times as needed to understand it thoroughly. Pay close attention to the question asked to help identify the quantity a variable should represent. 2. Assign a variable to represent the quantity you are looking for and when necessary, express all other unknown quantities in terms of this variable. Frequently, it is helpful to draw a diagram to illustrate the problem or to set up a table to organize the information. 3. Write an equation that describes the situation. 4. Solve the equation. 5. Answer the question asked in the problem. 6. Check the answer against the description of the original problem (not just the equation s
Textbook: Linear Algebra with Applications
Author: Gareth Williams
This full solution covers the following key subjects: . This expansive textbook survival guide covers 56 chapters, and 1286 solutions. Since the solution to 25 from 3.3 chapter was answered, more than 230 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 25 from chapter: 3.3 was answered by , our top Math solution expert on 03/15/18, 05:22PM. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 8. Linear Algebra with Applications was written by and is associated to the ISBN: 9781449679545. The answer to “Let A be a matrix all of whose elements are integers. Show that if IAI = 1, then all the elements of A-1 are integers.” is broken down into a number of easy to follow steps, and 25 words.