Linear equation (Matrix)

Please solve using excel. See attachment for guidelines and specifications……………………………. and there is an example
linear_equations_hw.pdf

linear_equation_example.pdf

Don't use plagiarized sources. Get Your Custom Essay on
Linear equation (Matrix)
Just from $13/Page
Order Essay

Unformatted Attachment Preview

ETCC 204
Homework #3
Linear Equations
A 10 ft square concrete pad is on a constant plane, but is not level. The corner of the pad is at the
coordinates x = 0 and y = 0, as indicated in the figure below. The station and elevation of three points on
the pad are surveyed. What equation in the form z = Ax By C describes the surface (i.e., what are the
values of A, B and C)? Set up a block to predict the elevation of any point on the pad given the x and y
coordinates using the equation. Have the spreadsheet return the word “Off” if the coordinates entered are
not on the pad. Basically, add an if statement to check whether or not the x’s and y’s you enter are
between 0 and 10 (10 ft wide slab). Note: this check is not exact, because it just checks whether or not
the vertical projection of the plane are within the 10 ft range; if the slab is tilted (as it is in our case), the
actual dimensions of the pad will be longer than 10 ft, but this provides a quick check. Use goal seek to
determine the y coordinate on the plane if the x coordinate is 2 and the z coordinate is 12.88.
Observations:
Point
a
b
c
x (ft)
2.0
4.5
9.0
y (ft)
7.0
2.5
6.0
z (ft above datum)
12.0
10.0
11.5
a
x=0
y=0
c
b
HW Grading Block
Category
Overall given? find format (heading, drawing, equations, calculation explanation, etc.)
Correct matrix setup
Matrix solution (values for A, B, and C) correct, and clearly labeled
Points
Possible
10
5
10
If statement clearly determines if x and y are on plane (correct z value if values are on plane)
10
Total
35
e points on
what are the
entered are
Points
Received
0
B
ETCC 204
Name
Linear Equations
Week 3 – 09/21/2012
Given: Five linear equations with five unknowns.
in equation form:
x1 3×2 – 7×3 4×4 – 2×5 = 2
4×2 – 4×3 6×4 7×5 = 27
2×1 2×2 – 2×3 5×4 – 8×5 = -6
6×1 – 3×2 – 5×3 8×5 = 5
-5×1 – 6×2 5×4 3×5 = -2
These are just text
typed into cells for
display only!
Find: The values of the unknowns (x1, x2, x3, x4, and x5) that balance the equations.
Ax = B
in matrix form:
where:
A
1
3
-7
4
-2
0
4
-4
6
7
2
2
-2
5
-8
6
-3
-5
0
8
-5
-6
0
5
3
Use the =MINVERSE( ) command to invert A:
x
x
b
x1
x2
x3
x4
x5
2
0.019
0.085
0.070
0.085
0.062
0.125
-0.021
0.094
0.127
-0.043
0.099
-0.063
-0.012
0.012
0.019
-0.054
-0.084
-0.017
0.046
-0.001
Only a square matrix may be inverted.
Given the matrices A, x and b, where the dimensions of each are
row x column if you multiply A by x to result in b (i.e., Ax = b) then:
answer has these
x
x
-6
5
-2
x = A-1b
Things to look for in this lecture:
A
=
Use =MMULT( ) to multiply:
A-1
-0.118
0.002
-0.201
-0.093
-0.037
27
=
b
0.134
2.285
0.904
1.308
1.947
= x1
= x2
= x3
= x4
= x5
mxn
nxp
mxp
these must
match
Make sure and check the Analysis ToolPak Add-In from the Tools menu
to make the array formula functions available.
To use an array formula such as MMULT or MINVERSE, use the mouse
to select the whole range where the answers will go, type the command and
then use ctrl-shft-enter to set the command into the selected range.

Purchase answer to see full
attachment

Order a unique copy of this paper
(550 words)

Approximate price: $22

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency

Order your essay today and save 15% with the discount code ESSAYHELP