Computer Sciences > GATE 2025 SET-2 > LU Decomposition
Consider a system of linear equations PX=Q where P∈ℜ3×3 and Q∈ℜ3×1. Suppose P has an LU decomposition, P=LU where

Which of the following statement(s) is/are TRUE?
A
The system PX=Q can be solved by first solving LY=Q and then UX=Y
B
If P is invertible, then both L and U are invertible.
C
If P is singular, then at least one of the diagonal elements of U is zero.
D
If P is symmetric, then both L and U are symmetric.

Correct : a

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