Let Ax c be a linear equation system with A a nonsingular square n n matrix (rank A n) For every c n there exists a unique solution x (x1, x2, , xn) given by where is the matrix obtained by replacing the jth column of A with c ...

We can write the system x c in the form Subtracting c from the th column gives so that the ...

Let Ax = c be a linear equation system with A a nonsingular square n n

Question:

Let Ax = c be a linear equation system with A a nonsingular square n × n matrix (rank A = n). For every c ∈ ℜn there exists a unique solution x = (x1, x2,..., xn) given by

where

is the matrix obtained by replacing the jth column of A with c.

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

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:40 AM

See More Questions

Expand Your Knowledge: Logarithmic Transformations. Power Law Model When we take measurements of the same general type, a power law of the form y = ax often gives an excellent fit to the data. A lot...
Let x = boiler steam pressure in 100 lb/in 2 and let y = critical sheer strength of boiler plate steel joints in tons/in2. We have the following data for a series of factory boilers. (a) Make the...
Let Ax = b be any consistent system of linear equations, and let x1 be a fixed solution. Show that every solution to the system can be written in the form x = x1 + x0, where x0 is a solution Ax = 0....
Please graphically demonstrate the effects on the level of prices and the value of money if consumers increase their spending due to stock market boom and therefore make more transactions. On the...
Use the following data and = .01 to determine whether the observed frequencies represent a uniform distribution. Category f o 1 ........ 19 2 ........ 17 3 ........ 14 4 ........ 18 5 ........ 19 6...
Familiar Words Your Task. Revise the following sentences to avoid unfamiliar words. a. The salary we are offering is commensurate with other managers remuneration. b. To expedite ratification of this...
The table lists the number of wireless devices per household in a small town in the United States. (a) Construct a probability distribution. (b) Graph the probability distribution using a histogram...
Big Thunder Co. incurred the following costs during April: Raw materials purchased . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 99,225 Direct labor ($15 per hour) . . . . . . . . . . . . ....
Deploy AI's natural language and decision support to automatically generate individual feedback for each student as they submit responses to lab questions. The feedback goes further than telling the...
Establish loan amortization schedules for the following loans to the nearest cent (see Table 3.8 for an example): a. A 36-month loan of $8,000 with equal installment payments at the end of each...
Prove that the linear equation system x1 + 3x2 = c1 x1 - x2 = c2
Show that where Î = det(A) = ad - bc. bdb
Several years ago, United Parcel Service (UPS) believed that the Internet was going to change the parcel delivery market and would require UPS to become a more nimble and customer-focused...
On May 15, 2005, C.E., a fourteen-year-old female attending high school, received two photographs via e-mail from Jorge Canal. Canal was eighteen years of age and attended the same school when this...
At trial, the evidence showed defendant managed an escort service which advertised on the internet. An undercover officer testified he scheduled a meeting with one of defendants escorts . . . and...
What is your opinion of governments efforts over the years to legislative morality?
In the dark of night on July 28, 2012, in Oak Ridge, Tennessee, an 82 year-old nun and two Army veterans, ages 57 and 63, cut their way through four layers of fences and reached a building where the...
Consider the chamber temperature control system of Problem 8.4-3. Suppose that a variable gain $K$ is added to the plant. The pulse transfer function for this system is given in Problem 8.4-3. (a)...
Joby had $421.56 in her checking account when she deposited g $20 bills and k quarters. Write an expression that represents the amount of money in her account after the deposit.
Charles owns an office building and land that are used in his trade or business. The office building and land were acquired in 1978 for $800,000 and $100,000, respectively. During the current year,...
The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard deviation is s = 0.37. Construct a 95% two-sided confidence interval...
Consider the hole diameter data in Exercise 8-35. Construct a 99% two-sided confidence interval for .
Consider the sugar content data in Exercise 8-37. Find a 90% lower confidence bound for .
Kaplan Inc. had 100,000 in unit-sales during the last quarter of last year. Managers expect the sales to increase by 10% each quarter over the next four quarters. The selling price is expected to...
This article titled "Evaluating Monetary Policy with Inflation Bands and Horizons 2023 -05 Troy Davig and Andrew Foerster February 21, 2023" discusses how monetary policy affects different sectors of...
Corporate governance is the set of rules, processes, and policies that guide and govern a business as it operates and manages risk. Tax laws have existed since the 1800s, and the history, Scope, and...

Let Ax = c be a linear equation system with A a nonsingular square n n

Question:

Step by Step Answer:

We can write the system x c in the form Subtracting c from the th column gives so that the ...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions