Northern Virginia Community College Linear Algebra Questions

Description

Check attached files. This is incomplete 19) A company manufactures two products. For $1.00 worth of product A, the company spends $0.40 on
materials, $0.25 on labor, and $0.10 on overhead. For $1.00 worth of product B, the company spends $0.50 on
materials, $0.20 on labor, and $0.15 on overhead. Let
a =
0.40
0.25
0.10
and b =
0.50
0.20
0.15

3 attachmentsSlide 1 of 3attachment_1attachment_1attachment_2attachment_2attachment_3attachment_3

Unformatted Attachment Preview

Display the indicated vector(s) on an xy-graph.
20) Let u= and v= Display the vectors u, v, and u +y on the same axes.
10
у
10 X
-10
Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as indicated.
16) Find the echelon form of the given matrix.
1 4 -2 3
-3 -11 9-5
2 2 5 -1
4
Solve the problem.
17) Find the general solution of the simple homogeneous “system” below, which consists of a single linear
equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables.
2×1 – 16×2 +10×3 = 0
Find the matrix product AB, if it is defined.
-1 32
18) A=
B=
0 -3 1
Solve the problem.
19) A company manufactures two products. For $1.00 worth of product A, the company spends $0.40 on
materials, $0.25 on labor, and $0.10 on overhead. For $1.00 worth of product B, the company spends $0.50 on
materials, $0.20 on labor, and $0.15 on overhead. Let
a=
0.40
0.25
0.10
0.50
and b= 0.20
0.15
Then a and b represent the “costs per dollar of income” for each product. Suppose that the company
manufactures x dollars of product A and y dollars of product B, and that its total costs for materials are $260,
its total costs for labor are $120, and its total costs for overhead are $70. Determine x and y, the quantities of
each product produced.

Purchase answer to see full
attachment

Tags:
linear algebra

Row echelon form

Graph vectors

First number equation

Commination of vectors

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.