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Solve the following system of linear equations using L-U Decomposition Method. Assume U₁1 U22 = U33 = 1. Question Solve for U12, U13 and U23. (Express answers in lowest term fractional form) In the equation L*y = b, find the elements of vector y. (Express answers in lowest term fractional form) In the equation U*X = y, find the elements of vector X. (Express answers in lowest term fractional form) -x+y+z=2 6x - 3y + 5z = 30 3x + 2y 2z = 10 U12= yı= X= Answer U13= y2= Y= U23= Y3= Z=

Solve the following system of linear equations using L-U Decomposition Method. Assume U₁1 U22 = U33 = 1. Question Solve for U12, U13 and U23. (Express answers in lowest term fractional form) In the equation L*y = b, find the elements of vector y. (Express answers in lowest term fractional form) In the equation U*X = y, find the elements of vector X. (Express answers in lowest term fractional form) -x+y+z=2 6x - 3y + 5z = 30 3x + 2y 2z = 10 U12= yı= X= Answer U13= y2= Y= U23= Y3= Z=

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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Thumbs-up will be given. Final answers should be in either lowest term (for fractions) or to the fourth decimal place. Write the complete solutions legibly.
Solve the following system of linear equations using L-U Decomposition Method. Assume U₁1 U22 = U33 = 1. Question Solve for U12, U13 and U23. (Express answers in lowest term fractional form) In the equation L*y = b, find the elements of vector y. (Express answers in lowest term fractional form) In the equation U*X = y, find the elements of vector X. (Express answers in lowest term fractional form) -x+y+z=2 6x - 3y + 5z = 30 3x + 2y 2z = 10 U12= yı= X= Answer U13= y2= Y= U23= Y3= Z=
Transcribed Image Text:Solve the following system of linear equations using L-U Decomposition Method. Assume U₁1 U22 = U33 = 1. Question Solve for U12, U13 and U23. (Express answers in lowest term fractional form) In the equation L*y = b, find the elements of vector y. (Express answers in lowest term fractional form) In the equation U*X = y, find the elements of vector X. (Express answers in lowest term fractional form) -x+y+z=2 6x - 3y + 5z = 30 3x + 2y 2z = 10 U12= yı= X= Answer U13= y2= Y= U23= Y3= Z=
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