Show that the computation of an nth-order determinant by expansion involves n! multiplications, which if a multiplication

Question:

Show that the computation of an nth-order determinant by expansion involves n! multiplications, which if a multiplication takes 10^-9 sec would take these times:

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

Step by Step Answer:

Related Book For answer-question

Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

See More Books

Question Posted: Oct 06, 2022 03:33 AM

See More Questions

Show that evaluating the determinant of an n Ã n matrix by cofactors involves (n! - l) additions and multiplications. 11/ k=1
The expansion of a 3 ( 3 determinant can be remembered by the following device. Write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying...
Show that an integer is divisible by 9 if and only if the sum of its decimal digits is divisible by 9.
You have been provided the following data about the securities of three firms, the market portfolio, and the riskfree asset: a. Fill in the missing values in the table. b. Is the stock of Firm A...
Now that weve built up some intuition about exchange rates, lets apply the principles more thoroughly. In this question, we discuss the U.S.China exchange rate. Officially, the Chinese government...
How do communication strategies such as SBAR (Situation-Background. Assessment-Recommendation) promote patient safety?
Suppose $\mathbf{x} \sim M N(n, \boldsymbol{\pi})$ follows a multinomial distribution of size $n$ and probability $\pi$. Derive the variance matrix of $\mathbf{x}$.
Scully Corporations comparative balance sheets are presented below. Additional information: 1. Net income was $22,630. Dividends declared and paid were $19,500. 2. All other changes in noncurrent...
According to the Civil Code of the Philippines, Article 1 7 6 7 defines partnership as: By the contract of partnership two or more persons bind themselves to contribute money, property, or industry...
Does microfinance reduce poverty? Critically review the empirical evidence explaining when and why microfinance can be an effective tool.
Solve the linear system given explicitly or by its augmented matrix. Show details.
Let C be 10 10 matrix and a a column vector with 10 components. Are the following expressions defined or not? Ca, C T a, Ca T , aC, a T C, (Ca T ) T .
Based on current data, 99.3% of newborns survive the first five years of their lives, and 72.6% of people who reach age 80 years survive the next five years of their lives.
Cash Accounts receivable Inventory Land Building and equipment Accounts payable Salaries payable Notes payable (secured by inventory) Employees' claims for contributions to pension plans Taxes...
6. Kyle sold a machine used in his business for $10,000. Kyle paid $100,000 for the machine plus $2,000 in transfer taxes and $5,000 to deliver the machine. He has deducted $80,000 of depreciation on...
Analyze the Java Code below then show the output if the input is 20. You can upload an illustrated output or a digital image. Start Page BananaDialogB.java BananaEggCoke.java Factors.java import...
Discuss the assumptions about growth rates and cost savings that underlay the projections in case Exhibits 8, 9, and 10. Are they realistic? What could possibly go wrong?...
could you make this code as same as sample run? but i didn't learn the buffered reader or try or catch. so can you just write the basic method and make it? Lab Exam #3 Practice Question 1 Part A...
One kilogram of carbon dioxide is compressed from 0.5 MPa and 200oC to 3 MPa in a piston - cylinder device arranged to execute a polytropic process with n 5 1.3. Use the compressibility factor to...
By referring to Figure 13.18, determine the mass of each of the following salts required to form a saturated solution in 250 g of water at 30 oC: (a) KClO3, (b) Pb(NO3)2, (c) Ce2(SO4)3.
Suppose A and B are mutually exclusive, with P(A) = 0.30 and P(B) = 0.60. Find the probability that (a) At least one of the two events occurs (b) Both of the events occur (c) Neither event occurs (d)...
Suppose P(A B) = 0.6 and P(A B c ) = 0.8. Find P(A).
Suppose X is a random variable that takes values on all positive integers. Let A = {2 X 4} and B = {X 4}. Describe the events (i) A c (ii) B c (iii) AB (iv) A B
4. A 3 MeV photon interacts with a lead nucleus and creates an electron-positron pair. The elec- tron and positron travel perpendicular to the initial direction of travel of the photon. Find the...
QUESTION: This case demonstrates the flexibility management has in determining Net Income under Generally Accepted Accounting Principles (GAAP). Most courses dealing with Financial Accounting present...
5. [20] The reflectance of a metal is 80% at normal incidence, and the extinction index K = 4.0. Find the real part n of the refractive index.

Show that the computation of an nth-order determinant by expansion involves n! multiplications, which if a multiplication

Question:

Step by Step Answer:

The computation of an nthorder determinant by expansion involves n multiplications which means that ...View the full answer

Advanced Engineering Mathematics

Students also viewed these Mathematics questions