1,954 Answered Questions for the topic linear algebra

Linear Algebra

02/15/23

I need help with this math question
In 1990, the cost of tuition at a large Midwestern university was $104 per credit hour. In 1998, tuition had risen to $224 per credit hour. Determine a linear function c(x) to represent the cost... more
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Linear Algebra

02/14/23

Solving a value mixture problem using a system of linear
The Collins family and the Hughes family each used their sprinklers last summer. The Collins’s family’s sprinkler was used for 25 hours. The Hughes family’s sprinkler was used for 20 hours. There... more
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Linear Algebra Math Calculus Precalculus

02/13/23

Assume that f(x,y,z) = x^2 +y^2 +z^2 +xz has a critical point at (0,0,0). Is f(0,0,0) a maximum, minimum, saddle point, or do we not have enough information to determine this?
Show all of your work and every step to receive full credit. If there is not enough information to determine if (0,0,0) is a max, min, or saddle, please justify your answer.
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Linear Algebra Algebra 1 Algebra 2

02/13/23

Find f(a + h) - f(a) for the function. Simplify your answer.
f (x)+x^2-11x+1
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Linear Algebra Math Calculus Precalculus

02/12/23

Consider the function f(x,y) = x^2 − 2xy + (y^3)/3 −3y
(a) Compute all its critical points.(b) Find Hessian matrices and quadratic forms for each critical point.(c) For each quadratic form, compute the eigenvalues λ1, λ2 of the associated 2 × 2 matrix... more
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Linear Algebra

02/12/23

A metallurgist has one alloy containing 24% aluminum and another containing 49% aluminum. How many pounds of each alloy
A metallurgist has one alloy containing 24%24% aluminum and another containing 49%49% aluminum. How many pounds of each alloy must he use to make 5959 pounds of a third alloy... more
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Linear Algebra Math Algebra 2 Calculus

02/12/23

Let B = [201|020|102] (3x3 matrix)
(a) What does the Spectral Theorem guarantee about the matrix B?(b) Find the eigenvalues and eigenvectors of B.(c) Assume that f(x,y,z) = x2 +y2 +z2 +xz has a critical point at (0,0,0). Is f(0,0,0)... more
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Linear Algebra Math Algebra 1 Algebra 2

02/12/23

Algebra with science
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters when the pressure is 250 millimeters... more
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Linear Algebra

02/10/23

Show that the transformation T defined by T(x1, x2, x3) = {x1, x2, −2x3} is linear.
Show that the transformation T defined by T(x1, x2, x3) = {x1, x2, −2x3} is linear.
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Linear Algebra Math

02/10/23

I Don't Get This
The admission fee at an amusement park is $4.00 for children and $6.20 for adults. On a certain day, 261 people entered the park, and the admission fees collected totaled $1319. How many children... more
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Linear Algebra

02/10/23

Word problems involving inequalities

Four children earn money for a charity. Dauda earns #y, Obi earns half as much as Dauda, Chidi earns three times as much as Obi, and wale earns #250 less than all the other three. Together, they... more
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Linear Algebra

02/10/23

Word problems involving inequalities

Four children earn money for a charity. Dauda earns #y, Obi earns half as much as Dauda, Chidi earns three times as much as Obi, and wale earns #250 less than all the other three. Together, they... more
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Linear Algebra Math

02/10/23

U2.L3.HW: Systems of Linear Equations: Question 30
A coffee distributor plans to mix some Kenya coffee that normally sells for $13.20 per pound with some Guatemala Antiguacoffee that normally sells for $14.20 per pound to create 60 pounds of a new... more
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Linear Algebra Math

02/10/23

Choosing the best Sales Job
You are offered two different furniture sales jobs. The Furniture Barn offers you a job that pays straight commission of 9% of the sales. The Furniture Warehouse offers you a job that pays a salary... more
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Linear Algebra Math

02/09/23

Supply & Demand
In supply (and demand) problems, y is the number of items the supplier will produce (or the public will buy) if the price of the item is x. For a particular product:The supply equation... more
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Linear Algebra

02/09/23

U2.L3.HW: Systems of Linear Equations: Question 28
A hoverboard manufacturer has just announced the Glide 5 hoverboard. The accounting department has determined that the cost to manufacture the Glide 5 hoverboard and the equation is y=35.16x+20672.... more
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Linear Algebra

02/09/23

U2.L3.HW: Systems of Linear Equations: Question 30
A coffee distributor plans to mix some Kenya coffee that normally sells for $13.20 per pound with some Guatemala Antiguacoffee that normally sells for $14.20 per pound to create 60 pounds of a new... more
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Linear Algebra Math

02/09/23

How many Dimes and Quarters
Terrence has 34 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 550 cents, how many dimes and how many quarters does he have?
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Linear Algebra Math Algebra 1 Algebra 2

02/09/23

How to solve this homogenous linear system corresponding to the coefficient matric provided using the Gauss- Jordan Elimination Method?
2 2 -1 0 1-1 -1 2 -3 1 1 1 -2 0 -10 0 1 1 1
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Linear Algebra Math Algebra 1 Algebra 2

02/09/23

Solve the linear system by Gaussian Eliminatio method and determine whether the system is consistent or non consistent

x-y+2z -w= -12x+y-2z-2w= -2 x + 2y-4z+ w= 13x-3w= -3
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Linear Algebra Math

02/06/23

Find a line that goes through y=9

Determine the equation of the line that goes through (-9,2) and is parallel to:y=9
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Linear Algebra

02/04/23

Find the x and y intercepts for the following. Give answers as ordered pairs. y=2/3x - 9
y= 2/3x - 9Find the x and y intercepts. Give answer as ordered pairs.
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Linear Algebra

02/03/23

Linear equation word problem
Clarissa is saving money at a constant rate. After 2 months she has 84 in her savings account. After 5 months she has $210 in her account.a. Write an equation that relates the amount of money she... more
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Linear Algebra

02/02/23

Use the function to find the image of v and the preimage of w. T(v1, v2) = 2 2 v1 − 2 2 v2, v1 + v2, 2v1 − v2 , v = (1, 1), w = (−7 2 , −2, −22)
Use the function to fine the image of v and the preimage of wT(v1, v2) = (((sqrt(2)/2)v1) - ((sqrt(2)/2)v2), v1+v2, 2v1-v2) , v = (1,1), w = (-7 sqrt(2), -2, -22)
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Linear Algebra

02/01/23

The points (6,-19) and (r,1) lie on a line with slope 5. Find the missing coordinate r.
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