Elementary row operations, Mathematics

Assignment Help:

Anne, Betty and Carol went to their local produce store to buy some fruit. Anne bought one pound of apples and two pounds of bananas and paid $2.11. Betty bought two pounds of apples and one pound of grapes and paid $4.06. Carol bought one pound of bananas and two pounds of grapes and paid $4.45.

 (a) Let x = price of a pound of apples, y = price of a pound of bananas and z = price of a pound of grapes. Write out 3 linear equations representing the purchases of Anne, Betty and Carol.

(b) Write out the augmented matrix for your system of 3 linear equations of part (a).

(c) Use elementary row operations to row reduce the augmented matrix of part (b) to a reduced row-echelon matrix.

 (d) What is the price per pound for each of the three fruits?


Related Discussions:- Elementary row operations

Determine the angle in hexagonal-shaped nut, The figure provided below show...

The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC?   a. 120° b. 135° c. 108° d. 144° a. The measure of an angle of a regula

Find out the surface area of the solid, Find out the surface area of the so...

Find out the surface area of the solid acquired by rotating y = √ (9-x 2 ), - 2 x 2 about the x-axis. Solution The formula that we'll be using here is, S = ∫ 2Πyds

Prove that a simple graph is connected, Prove that a simple graph is connec...

Prove that a simple graph is connected if and only if it has a spanning tree.    Ans: First assume that a simple graph G has a spanning  tree T.  T consists of every node of G.

Alternating series test - sequences and series, Alternating Series Test - S...

Alternating Series Test - Sequences and Series The final two tests that we looked at for series convergence has needed that all the terms in the series be positive.  Actually t

Sharon purchased six movie tickets how much was each ticket, Sharon purchas...

Sharon purchased six adult movie tickets. She spent $43.50 on the tickets. How much was each ticket? To ?nd out the price of each individual ticket, you should divide the total

What is set, What is a set? Explain various methods to represent a set in s...

What is a set? Explain various methods to represent a set in set theory. Define the following with the help of suitable examples.      (i) Singleton Set

Power regression, how can i solve a multi variable power regression equatio...

how can i solve a multi variable power regression equation..? EX: y=a*(x1^b)*(x2^c).... i need to solve with 4 variable....

Shares and dividend, A man in rested rupee 800 is buying rupee5 shares and ...

A man in rested rupee 800 is buying rupee5 shares and then they are selling at premium of rupee 1.15.he sells all the share.find profit?

One of these food groups, In a collection of 30 dissimilar birds, 15 eat wo...

In a collection of 30 dissimilar birds, 15 eat worms, 18 eat fruit, and 12 eat seeds. Accurately 8 eat worms and seeds, 8 eat worms and fruit, 7 eat fruit and seeds, and 4 eat each

Write Your Message!

Captcha
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