Show that evaluating the determinant of an n Atilde n matrix by cofactors involves (n l) additions and multiplications 11 k 1...

Prove Evaluating an n n matrix by cofactors requires n 1 additions and multiplicati ...

Show that evaluating the determinant of an n Ã n matrix by cofactors involves (n! - l)

Question:

Show that evaluating the determinant of an n Ã— n matrix by cofactors involves (n! - l) additions and

multiplications.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

See More Books

Question Posted: Jun 13, 2016 12:48 AM

See More Questions

Use mathematical induction to show that when n > 1, the evaluation of the determinant of an n n matrix using the definition requires 1- additions/subtractions. nmultiplications/divisions and ok
Show that the elimination method of computing the value of the determinant of an n n matrix involves [n(n - 1)(2n - l)]/6 additions and [(n - 1)(n2 + n + 3)]/3 multiplications and divisions.
Explain why the determinant of an n n matrix with a row of zeros must have a zero determinant, using the method of this section.
To anticipate subsequent chapters where more complicated renewable resource models are introduced, consider a slight modification of the two-period depletable resource model. Suppose a biological...
If a bank is falling short of meeting its capital requirements by $1 million, what three things can it do to rectify the situation?
The collection of emerald diamonds contains replications, several diamonds at each weight. Had we fit the linear equation using average price at each weight rather than individual diamonds, how would...
After installation, the lifetime of a ball bearing is modeled as an exponential distribution with failure rate $\alpha=0.001$ failures per day. (a) What is the probability that the ball bearing...
A recent article reported that there are approximately 11 minutes of actual playing time in a typical National Football League (NFL) game (The Wall Street Journal, January 15, 2010). The article...
Convert functions to logic circuits: 3.1) f=(B+C+D) (A+C+D') (C'+D) 3.2) f=(CD)+(CD)+(ABD) 3.3) f=(A'C)+(A'D)+(B C') + (BD)
Researchers surveyed 19,183 U.S. physicians, asking for the information below. Location (region of the U.S.) income (dollars) employment status (private practice or an employee) benefits received...
Let x and y be elements of R3, and let z be the vector in R3 whose coordinates are defined by Let X = (x, x, y)T and Y = (x, y, y)T Show that xTz = det(X) = 0 and yTz = det(Y) = 0 x2 3 x x3 x x2 y1...
Let A be an n n matrix and a scalar. Show that det(A) = n det(A)
Determine if the alternating series converges or diverges. Some of the series do not satisfy the conditions of the Alternating Series Test. (-1)+1 n=1 2 n
What would be the guidelines for Community legal centre. For example conveyancers have a set of rules what would they be for community legal centres?
Blue Thunder was formed many years ago. It had acquired a number of subsidiaries and associates locally, including an 80 percent interest in subsidiary Lightning. During the current year, it sold its...
10. Write the lift equation and solve C. Write a second lift equation only use CLA and V, in this equation. As long as the aircraft is in equilibrium the lift will be the same as the weight. Divide...
In this assignment you will be generating an informative invoice for the AM Coffee shop where the tax is dependent on the date of the month the order is placed. Here's what your program will do:...
What were 5 essential things you learned about international law that you found useful during negotiations?
For the following exercises, simplify the given expression. sin(x)cos(2x)sin(x)cos(2x)
The percentage of completion and completed contract methods are described in the FASB ASC. Search the codification to find the paragraphs covering these topics, cite them, and copy the results.
Referring to Exercise 20, what can you say about det (A) if A is the standard matrix for a rigid linear operator on R2?
Determine which of the following matrices are orthogonal. For those that are orthogonal, find the inverse. (a) (b) (c) 12 2 2 0 100 010 0010 010 3-3-3 0 1000
Repeat Exercise 8 for a rotation of = /3 counterclockwise about the y-axis (looking along the positive y-axis toward the origin) Exercise 8 Let a rectangular xyz -coordinate system be obtained by...
Jamie Lee is attracted to the low monthly payment advertised for a vehicle lease. She may well be able to afford a more expensive car than she originally thought. Jamie Lee really needs to think this...
Explain virtual hosting and how to use either name-based or IP-based virtual hosting.?
Discuss the role of literary allusion in satire as a means of subverting conventions and critiquing societal norms.

Show that evaluating the determinant of an n Ã n matrix by cofactors involves (n! - l)

Question:

Σ11/Μ k=1

Step by Step Answer:

Prove Evaluating an n n matrix by cofactors requires n 1 additions and multiplicati...View the full answer

Linear Algebra with Applications

Students also viewed these Linear Algebra questions