×
×

# Show that the elimination method of computing the value of the determinant of an n n ISBN: 9780136009290 436

## Solution for problem 21 Chapter 2.2

Linear Algebra with Applications | 8th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Linear Algebra with Applications | 8th Edition

4 5 1 379 Reviews
31
5
Problem 21

Show that the elimination method of computing the value of the determinant of an n n matrix involves [n(n 1)(2n 1)]/6 additions and [(n 1)(n2 + n + 3)]/3 multiplications and divisions. [Hint: At the ith step of the reduction process, it takes n i divisions to calculate the multiples of the ith row that are to be subtracted from the remaining rows below the pivot. We must then calculate new values for the (n i )2 entries in rows i +1 through n and columns i +1 through n.]

Step-by-Step Solution:
Step 1 of 3

L16 - 10 ex. In a chemical reaction involving materials A and B resulting in product C, A and B are reactants and C is the product.T e concentration of reactant A in moles per liter is denoted [ A]. Since concentration varies during reaction, [A], [B], and [eucisfi . Average rate of reaction on 1t 2i ]s ∆[C] [C](t2)...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780136009290

This full solution covers the following key subjects: . This expansive textbook survival guide covers 47 chapters, and 921 solutions. Linear Algebra with Applications was written by and is associated to the ISBN: 9780136009290. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 8. Since the solution to 21 from 2.2 chapter was answered, more than 220 students have viewed the full step-by-step answer. The answer to “Show that the elimination method of computing the value of the determinant of an n n matrix involves [n(n 1)(2n 1)]/6 additions and [(n 1)(n2 + n + 3)]/3 multiplications and divisions. [Hint: At the ith step of the reduction process, it takes n i divisions to calculate the multiples of the ith row that are to be subtracted from the remaining rows below the pivot. We must then calculate new values for the (n i )2 entries in rows i +1 through n and columns i +1 through n.]” is broken down into a number of easy to follow steps, and 90 words. The full step-by-step solution to problem: 21 from chapter: 2.2 was answered by , our top Math solution expert on 03/15/18, 05:24PM.

Unlock Textbook Solution