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⇱ Engineering Mathematics || 2022 || MCQ || 2 mark || Module 1 : Linear Algebra


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Consider solving the following system of simultaneous equations using LU decomposition. 

x1 + x2 - 2x3 = 4

x1 + 3x2 - x3 = 7

2x1 + x2 - 5x3 = 7

where L and U are denoted as

👁 Screenshot-2025-10-24-155033

Which one of the following is the correct combination of values for L32, U33, and x1?   [ MCQ || GATE 2022 || 2 Marks ]

L32 = 2, U33  = -1/2, x1 = -1

L32 = 2, U33  = 2, x1 = -1

L32 = -1/ 2, U33  = 2, x1 = 0

L32 = -1/2, U33  = -1/2, x1 = 0

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