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

Design an automaton that accepts only even numbers, Design an automaton tha...

Design an automaton that accepts just only even numbers of 0s and even number of 1's. Ans: The needed automata that accepts even number of 0's and even number of 1's is specifi

Amy purchased 6 books how much did the books cost altogether, Amy purchased...

Amy purchased 6 books at $4.79 each. How much did the books cost altogether? Multiply 6 by $4.79; 6 × $4.79 = $28.74.

Pressure and vorticity distributions, Normal 0 false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

Calculate values of the derivative, First, see that the right hand side of ...

First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the

Method of reduction of order, Consider the equation x 2 y′′+ xy′- y = 4x...

Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second

Solve by factorization, Solve by factorization X 2 +(a/a+b + a+b/a)x+...

Solve by factorization X 2 +(a/a+b + a+b/a)x+1 = 0 X 2 +(a/a+b + a+b/a)x+1 =>  X 2 +(a/a+b x a+b/ax + a/a+b .a+b/a) =>  X[x+a/a+b] +a+b/a[a+a*a+b]= 0 =>  X= -a

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