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GATE 2022
Engineering MathematicsLinear AlgebrahardMCQ2 marks
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 L = \[\begin{bmatrix}L11 & 0 & 0\\L21 & L22 & 0\\L31 & L32 & L33\end{bmatrix}\], U = \[\begin{bmatrix}U11 & U12 & U13\\0 & U22 & U23\\0 & 0 & U33\end{bmatrix}\] Which one of the following is the correct combination of values for L32, U33, and x1?
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