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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. 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 2) with the CORRESPONDING rows from matrix C both in MATRIX AND EQUATION FORM–assuming now that it is diagonally dominant

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. 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 2) with the CORRESPONDING rows from matrix C both in MATRIX AND EQUATION FORM–assuming now that it is diagonally dominant

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Read carefully and answer correctly all the three subparts
Matrix I is the answer for first subpart. It is not identity matrix.

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. 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 2) 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. 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 2) with the CORRESPONDING rows from matrix C both in MATRIX AND EQUATION FORM-assuming now that it is diagonally dominant.
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
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