Let A be a 3 ( 2 matrix. Explain why the equation Ax = b cannot be

Question:

Let A be a 3 ( 2 matrix. Explain why the equation Ax = b cannot be consistent for all b in . Generalize your argument to the case of an arbitrary A with more rows than columns.

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

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

See More Books

Question Posted: May 02, 2016 12:01 PM

See More Questions

Let A be a m Ã n matrix which represents (exercise 3.253) the payoff function of a two-person zero-sum game in which player 1 has m pure strategies and player 2 has n strategies. Let Z be the...
Let A be a 2 x 2 matrix with eigenvalues -3 and - 1 and corresponding eigenvectors Let x(t) be the position of a particle at time t. Solve the initial value problem x' = and v, = x' = Ax, x(0) =
Let A be a symmetric n Ã n matrix with orthonormal eigenvectors u1 . . . . un. Let x Rn and let ci = uTix for i = 1,2,. . . .,n show that (a) (b) if x 0, then (c) AxlI2 [Alla max .
What is the Antebellum Interregional growth hypothesis?
The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per week is 43.4. Assume that the number of hours worked per week for those...
Functional employees are supposed to be the experts. A functional employee makes a statement that the project manager does not believe is completely true or accurate. Should the project manager...
Corrective measures should be engineered to eliminate the problem but also concentrate on minimizing what?
Suppose you owned a portfolio consisting of $250,000 of U.S. government bonds with a maturity of 30 years. a. Would your portfolio be riskless? b. Now suppose you hold a portfolio consisting of...
Explain the principles and applications of root cause analysis (RCA) in quality control, examining methods such as the "5 Whys," fishbone diagrams, and fault tree analysis for identifying underlying...
Turbo Champs Corp. uses activity-based costing to account for its motorcycle manufacturing process. Company managers have identified three supporting manufacturing activities: inspection, machine...
Construct a 3 ( 3 matrix, not in echelon form, whose columns do not span. Show that the matrix you construct has the desired property. R3
Could a set of three vectors in span all of? Explain. What about n vectors in when n is less than m? R4
Water flows steadily from a nozzle into a large tank as shown in Fig. P3.120. The water then flows from the tank as a jet of diameter $d$. Determine the value of $d$ if the water level in the...
When will a professional be liable for an omission?
What does it mean to purchase an option?
What is a class action and when do parties use them?
What is the origin of the word tort, and what does it mean?
What is the purpose of environmental impact assessment review?
Consider the linear program in Problem 1. The value of the optimal solution is 27. Suppose that the right-hand side for constraint 1 is increased from 10 to 11. a. Use the graphical solution...
The area of a rectangle is 30 cm 2 and its perimeter is 26 cm. Find the length and width of the rectangle.
Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. A = A = 3-7 -3 5 6-4 1 0 1 2-5 -1 - 1, b = 0 0 8][8 0 1 0 0-1 3 -7 5 2 0-2 -2 -
Show that the block upper triangular matrix A in Example 5 is invertible if and only if both A 11 and A 22 are invertible. Data from in Example 5 EXAMPLE 5 A matrix of the form A = [ A11 A12 0 A22 is...
Suppose A 11 is an invertible matrix. Find matrices X and Y such that the product below has the form indicated. Also, compute B 22 . 0 I 0 XI 0 YO I A11 A12 A21 A22 A31 A32 - [8 0 0 B11 B12 B22 B32
Benson and Orton are partners who share income in the ratio of 2:3 and have capital balances of $50,000 and $30,000 respectively. Ramsey is admitted to the partnership and is given a 40% interest by...
Compute ending work in process inventory for a manufacturer using the following information. Raw materials purchased Direct materials used Direct labor used Factory overhead Work in process...
A spring with spring constant 80 N/m is placed at the bottom of a 6 m high ramp with opening angle 60 . A 3 kg mass is then placed on the spring and pushed down so the spring is compressed by a...

Let A be a 3 ( 2 matrix. Explain why the equation Ax = b cannot be

Question:

R3

Step by Step Answer:

A 32 matrix has three rows and two columns With only two columns A can have at most two ...View the full answer

Linear Algebra and Its Applications

Students also viewed these Linear Algebra questions