Mathematics · Numerical Methods
Consider solving the following system of simultaneous equations using LU decomposition: x1 + x2 - 2x3 = 4 x1 + 3x2 - x3 = 72x1 + x2 - 5x3 = 7 where L and U are denoted as Doolittle factorization forms with 1s on the principal diagonal of L. Which one of the following is the correct combination of values for L32, U33, and x1?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1L32 = -12, U33 = -12, x1 = 0
- 2L32 = -12, U33 = 2, x1 = 0
- 3L32 = 2, U33 = 2, x1 = -1
- 4L32 = 2, U33 = -12, x1 = -1✓
Correct answer
L32 = 2, U33 = -12, x1 = -1
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