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The lower triangular matrix [L] in the [L][U] decomposition of the matrix given below
is
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The lower triangular matrix [L] in the [L][U] decomposition of the mat...
We must first complete the first step of forward elimination
First step: Multiply Row 1 by 10/25 = 0.4 and subtract the results from Row 2
Multiply Row 1 by 8/25 = 0.32, and subtract the results from Row 3
First step: Multiply Row 1 by 10/25 = 0.4 and subtract the results from Row 2
Multiply Row 1 by 8/25 = 0.32, and subtract the results from Row 3
To find ℓ21 and ℓ31 , what multiplier was used to make the a21 and a31 elements zero in the first step of forward elimination using the Naïve Gauss elimination method? They are
ℓ21 = 0.4
ℓ31 = 0.32
To find ℓ32, what multiplier would be used to make the a32 element zero? Remember the a32 element is made zero in the second step of forward elimination.
So
Hence
ℓ21 = 0.4
ℓ31 = 0.32
To find ℓ32, what multiplier would be used to make the a32 element zero? Remember the a32 element is made zero in the second step of forward elimination.
So
Hence
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Community Answer
The lower triangular matrix [L] in the [L][U] decomposition of the mat...
We must first complete the first step of forward elimination
First step: Multiply Row 1 by 10/25 = 0.4 and subtract the results from Row 2
Multiply Row 1 by 8/25 = 0.32, and subtract the results from Row 3
First step: Multiply Row 1 by 10/25 = 0.4 and subtract the results from Row 2
Multiply Row 1 by 8/25 = 0.32, and subtract the results from Row 3
To find ℓ21 and ℓ31 , what multiplier was used to make the a21 and a31 elements zero in the first step of forward elimination using the Naïve Gauss elimination method? They are
ℓ21 = 0.4
ℓ31 = 0.32
To find ℓ32, what multiplier would be used to make the a32 element zero? Remember the a32 element is made zero in the second step of forward elimination.
So
Hence
ℓ21 = 0.4
ℓ31 = 0.32
To find ℓ32, what multiplier would be used to make the a32 element zero? Remember the a32 element is made zero in the second step of forward elimination.
So
Hence
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The lower triangular matrix [L] in the [L][U] decomposition of the matrix given belowisa)b)c)d)Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2026 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The lower triangular matrix [L] in the [L][U] decomposition of the matrix given belowisa)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The lower triangular matrix [L] in the [L][U] decomposition of the matrix given belowisa)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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