Let A be a 3 3 matrix and let b = 3a1 + a2 + 4a3

Question:

Let A be a 3 × 3 matrix and let
b = 3a1 + a2 + 4a3
Will the system Ax = b be consistent? Explain.

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 12:47 AM

See More Questions

Let A be a 3 ( 4 matrix, let v1 and v2 be vectors in, and let w = v1 + v2. Suppose v1 = Au1 and v2 = Au2 for some vectors u1 and u2 in. What fact allows you to conclude that the system Ax = w is...
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 5 ( 3 matrix, let y be a vector in, and let z be a vector in. Suppose Ay = z. What fact allows you to conclude that the system Ax = 5z is consistent? 23
Air pollution officials in Californias Central Valley have opened a new front in the war against urban sprawl, and regulators and environmental advocates throughout the state are watching closely....
Consider a bank with the following balance sheet: Calculate the banks risk-weightedassets. Assets Liabilities Required Checkable $8 million $3 million $45 million $50 million $100 million Reserves...
The job that should be scheduled last when using Johnsons rule is the job with the: a) Largest total processing time on both machines. b) Smallest total processing time on both machines. c) Longest...
Identify and discuss the alternative courses of action for an auditor when his sample results indicate that a control cannot be relied upon.
Relax Designs, Inc. purchased a computerized blueprint printer that will assist in the design and display of plans for factory layouts. The cost of the printer was $45,000 and its expected useful...
The US Dollar's reserve currency status confers many advantages. How did it aid the US in responding to the Russian invasion of Ukraine? What are some of the consequences of these actions and do they...
The crank OA rotates in the vertical plane with a constant angular velocity wo = 7,9 rad/s. Link AB is a uniform slender rod. Determine the angular acceleration of the link AB for the configuration...
Given (a) Find an elementary matrix E such that EA = B. (b) Find an elementary matrix F such that AF = C. (2 1 3 2 1 3 3 B = |1 3 2 7 3 5 2. 4 2 7 -5 3 5 %3D
Let A be a 3 3 matrix and suppose that a1 - 3a2 + 2a3 = 0 (the zero vector) Is A nonsingular? Explain.
Draw a graph of f and use it to make a rough sketch of the anti-derivative that passes through the origin. 51. f(x) = sin(x). 0
There are two sectors of the construction industry that currently pay their employees the market-clearing wage. The demand for labor in each sector is MRPL = 12 - L, where L = the number (in...
Suppose that MRP L = 20 - 0.5L for lefthanded workers, where L = the number of left-handed workers and MRPL is measured in dollars per hour. The going wage for left-handed workers is $10 per hour,...
The earnings of piece-rate workers usually exceed those of hourly paid workers performing the same tasks. Theory suggests three reasons why. What are they?
Some real estate brokers split the commission revenues generated by each sale with the responsible agent. Others, however, require their agents to pay them (the brokers) money up front and then allow...
Statement 1: Business executives are greedy profit-maximizers, caring only for themselves. Statement 2: It has been established that workers doing filthy, dangerous work receive higher wages, other...
Electronics Suppose that 46% of families living in a certain county own a computer and 18% own an HDTV. The Addition Rule might suggest, then, that 64% of families own either a computer or an HDTV....
Show that if A is any m n matrix, then Im A = A and AIn = A.
Find a standard basis vector that can be added to the set (v1, v2) to produce a basis for R3. v1 = (- 1, 2, 3), v2 = (1, - 2, - 2)
Let {v1, v2, v3} be a basis for a vector space V. Show that {u1, u2, u3} is also a basis, where u1 = v1, u2 = v1 + v2, and u3 = v1 + v2 + v3.
Let S be a basis for an n-dimensional vector space V. Show that if v1, v2, ... vr form a linearly independent set of vectors in V, then the coordinate vectors (v1)s, (v2)s, (vr)s form a linearly...
1.Taxpayer, a cash method, calendar year taxpayer, engaged in the following transactions in shares of stock. Consider the amount and character of T's gain or loss in each transaction: (a)T bought 100...
where company shows it uneanedd revuene and how it is decribedd in the footnotes?
Required Compute variances for the following items and indicate whether each variance is favorable (F) or unfavorable (U): Note: Select "None" if there is no effect (i.e., zero variance). Item Sales...

Let A be a 3 3 matrix and let b = 3a1 + a2 + 4a3

Question:

Step by Step Answer:

If b 3a 1 a 2 4a 3 then b is a linear com...View the full answer

Linear Algebra with Applications

Students also viewed these Linear Algebra questions