2 -1 4 -0.5] -5 A = -1 1.5 0.25 1.5 C 4 B -3 2.75 0.1 -7 -0.5 0.2 1 1.5 5 -15.2 -0.4] 7 0.6 2.7 D = 0.05 0.25 [sym. 15 7 2 -10 0.25 1 E = -15.575 1.975 2 1.4 -0.9 1.075 1.2 5.9 1. Find the DIFFERENCE between Matrices H and E. That is: [H] – [E]. Name it, "Matrix I". 2. AUGMENT Matrix C with Matrix I. Write them in both in MATRIX AND EQUATION FORM. Remember: Ax=B, or in this case, Ix=C. Use the variables: w, x, y and z when writing them in equation form.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section: Chapter Questions
Problem 17CLR
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Related questions
Question
10
4
ー18
%3D
4
2.4
0.25
3.975
-28.575
- 2.9
4.075
3.2
15.3
Transcribed Image Text:10 4 ー18 %3D 4 2.4 0.25 3.975 -28.575 - 2.9 4.075 3.2 15.3
SECTION I: MATRIX OPERATIONS
2
-1
4
-0.5
-1
1.5
0.25
1.5
C =
3
4
A =
B =
-3
2.75
0.1
-7
-0.5
1
0.2
1.5
-15.2 -0.41
7
0.6
2.7
D =
0.05
0.25
[sym.
15
7
2
-10
0.25
1
1
E =
-15.575 1.975
2
1.4
-0.9
1.075
1.2
5.9]
1. Find the DIFFERENCE between Matrices H and E. That is: [H] – [E].
Name it, "Matrix I".
2. AUGMENT Matrix C with Matrix I. Write them in both in MATRIX AND EQUATION
FORM. Remember: Ax=B, or in this case, Ix=C.
Use the variables: w, x, y and z when writing them in equation form.
3. Using the formula discussed, determine if Matrix I is DIAGONALLY
DOMINANT. If yes, proceed to section 2. If not, rearrange Matrix I so that it becomes
diagonally dominant. Since we have previously augmented matrix I with C, rewrite
the system of linear equations (just as with Item 5) with the CORRESPONDING
rows from matrix C both in MATRIX AND EQUATION FORM-assuming now that it
is diagonally dominant.
Transcribed Image Text:SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5 -1 1.5 0.25 1.5 C = 3 4 A = B = -3 2.75 0.1 -7 -0.5 1 0.2 1.5 -15.2 -0.41 7 0.6 2.7 D = 0.05 0.25 [sym. 15 7 2 -10 0.25 1 1 E = -15.575 1.975 2 1.4 -0.9 1.075 1.2 5.9] 1. Find the DIFFERENCE between Matrices H and E. That is: [H] – [E]. Name it, "Matrix I". 2. AUGMENT Matrix C with Matrix I. Write them in both in MATRIX AND EQUATION FORM. Remember: Ax=B, or in this case, Ix=C. Use the variables: w, x, y and z when writing them in equation form. 3. Using the formula discussed, determine if Matrix I is DIAGONALLY DOMINANT. If yes, proceed to section 2. If not, rearrange Matrix I so that it becomes diagonally dominant. Since we have previously augmented matrix I with C, rewrite the system of linear equations (just as with Item 5) with the CORRESPONDING rows from matrix C both in MATRIX AND EQUATION FORM-assuming now that it is diagonally dominant.
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