Find the smallest and largest rank possible

Assignment Help Mathematics
Reference no: EM13179782

(Equivalent system, Rank, and Row space)- Linear algebra

Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.

a) Three equation, four variables.
b) Five equations, three variables, nonhomogeneous, consistent

Reference no: EM13179782

Questions Cloud

Describe the demand and marginal revenue curves : Describe the demand and marginal revenue curves faced by a firm in a purely competitive market. Are they different from those faced by a firm in oligopolistic competition? If so, why?
State most organic polymers are named based on the monomers : Most organic polymers are named based on the monomers used in their production. However, poly(vinyl alcohol) (PVA) is not made from vinyl alcohol,
What is the irr-maximizing investment choice of c0 : you can invest in a project with returns that depend on the amount of your investment. Specifically, the formula relating next year's payoff to your investment today is C1=(-C0 -0.1)^(1/2), c1 c2 are in million dollars.
State how much difluoroacetic acid should be transferred : How much difluoroacetic acid (d = 1.526g/cm^3 MW = 96.033) should be transferred to a 500 mL volumetric flask that's half full of water to generate
Find the smallest and largest rank possible : Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.
Describe the virtues and limitations of widescreen films : Why might a director choose to film in widescreen? Describe the virtues and limitations of widescreen films, and argue for or against the use of widescreen.
What is the molarity of the pesticide in the five ml flask : A 20.0 mg sampele of a pesticide with a molecular mass = 385.91 was dissolved in a 5 mL volumetric flask. a 2.00 mL aliquot was withdrawn & placed in a 25 mL volumetric flask, and diluted to the mark.
What simpler function mimicks the global scale behavior : What simpler function mimicks the global scale behavior of f[x]? f[x]=x^2
Use the theorem of pappus to ?nd the volume solid : Use the Theorem of Pappus to ?nd the volume of the given solid.

Reviews

Write a Review

Mathematics Questions & Answers

  Orthogonal vectors in subspace

Let v1 and v2 be vectors in R^n. Show that (prove) the set of all vectors w, an element of R^n such that w is orthogonal to both v1 and v2, is a subspace of R^n.

  Computing translation and reflection

A student claims that anything that can be accomplished by a translation can be accomplished by a reflection. She claims that if A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicul..

  Determining objective function

A college cafe receives a profit of $1.25 for each cup of house tea that the sell, $1.40 for each cup of the premium brand, and $1.50 for each cup of their special blend that they sell.

  How many possible plans are there

A trip plan involves the selection of a location, ski area, and a time.How many possible plans are there?

  What is the rate of return

Assume at the begining of the year you purchase an investment for 5,900 that pays 80 annual income. Also assume the investments value has increased to 6,500 by the end of the year.

  How much is her monthly mortgage payment

Amanda Thomas buys a house for $206,400 with a down payment of 20% of the price. If she takes out a 30-year mortgage at 6% compounded monthly, how much is her monthly mortgage payment?

  Importance of geometry in math curriculum

The importance of geometry's role in the math curriculum is debated in many high schools and colleges. Some schools offer the course while others have done away with it.

  Instance of probability and statistics in real life

Examples of Probability and Statistics in Real Life, Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?

  Probability- independent dual probability

Probability : Independent Dual Probability, A student applies for two different scholarships. The probability of receiving the first scholarship is 0.3 and the probability

  Compute the initial value problem

Compute the Initial Value Problem, Let G be a bipartite graph partitioned into vertex sets V and W. Assume all vertices have the same degree. Show G has a perfect matching.

  Independent geometric random variables

Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2

  Find the break-even point

a production process requires a fixed cost of $50,000. The variance cost per unit is $25 and the revenue per unit is projected to be $45. Find the break-even point.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd