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2 A = 4 0.25 0.1 0.2 -15.2 0.6 0.05 2 -10 0 7 0.25 0 1 1 E = -15.575 1.975 2 1.4 -0.9 1.075 1.2 5.9] 1. Find the TRANSPOSE of B. Name it, "Matrix F". 2. Find the PRODUCT of Matrices A and F. Name it, "Matrix G". 3. Matrix D is symmetric. Find the SUM of Matrices G and D. Name it, "Matrix H". -1 1.5 2.75 1 - -1 -3 L-0.5 D = 1.5 sym. -0.51 1.5 3 1 -0.41 2.7 0.25 15 B = 5 7 C = -51 4 -7 0

2 A = 4 0.25 0.1 0.2 -15.2 0.6 0.05 2 -10 0 7 0.25 0 1 1 E = -15.575 1.975 2 1.4 -0.9 1.075 1.2 5.9] 1. Find the TRANSPOSE of B. Name it, "Matrix F". 2. Find the PRODUCT of Matrices A and F. Name it, "Matrix G". 3. Matrix D is symmetric. Find the SUM of Matrices G and D. Name it, "Matrix H". -1 1.5 2.75 1 - -1 -3 L-0.5 D = 1.5 sym. -0.51 1.5 3 1 -0.41 2.7 0.25 15 B = 5 7 C = -51 4 -7 0

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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SECTION I: MATRIX OPERATIONS [2 -1 1.5 A = 2.75 1 -1 -3 -0.5 4 0.25 0.1 0.2 -15.2 0.6 D = 0.05 [sym. 7 2 -10 0 0.25 0 1 1 E = -15.575 1.975 2 1.4 -0.9 1.075 1.2 5.9 1. Find the TRANSPOSE of B. Name it, "Matrix F". 2. Find the PRODUCT of Matrices A and F. Name it, "Matrix G". 3. Matrix D is symmetric. Find the SUM of Matrices G and D. Name it, "Matrix H". 4. Find the DIFFERENCE between Matrices H and E. That is: [H] - [E]. Name it, "Matrix I". 5. 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. 6. Using the formula discussed in class, determine if Matrix 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. -0.51 1.5 3 1 -0.41 2.7 0.25 15 B = 1.5 5 = 4
Transcribed Image Text:SECTION I: MATRIX OPERATIONS [2 -1 1.5 A = 2.75 1 -1 -3 -0.5 4 0.25 0.1 0.2 -15.2 0.6 D = 0.05 [sym. 7 2 -10 0 0.25 0 1 1 E = -15.575 1.975 2 1.4 -0.9 1.075 1.2 5.9 1. Find the TRANSPOSE of B. Name it, "Matrix F". 2. Find the PRODUCT of Matrices A and F. Name it, "Matrix G". 3. Matrix D is symmetric. Find the SUM of Matrices G and D. Name it, "Matrix H". 4. Find the DIFFERENCE between Matrices H and E. That is: [H] - [E]. Name it, "Matrix I". 5. 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. 6. Using the formula discussed in class, determine if Matrix 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. -0.51 1.5 3 1 -0.41 2.7 0.25 15 B = 1.5 5 = 4
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