Question 8178 – GATE 2015 [Set-1]

In the LU decomposition of the matrix

,if the diagonal elements of U are both 1, then the lower diagonal entry l₂₂ of L is

Correct Answer: A

Question 21 Explanation:

A = LU

l₁₁ = 2 —–(1)
l₁₁u₁₂ = 2
u₁₂ = 2/2
u₁₂ = 1 —– (2)
l₂₁ = 4 —– (3)
l₂₁u₁₂+l₂₂ = 9
l₂₂ = 9 – l₂₁u₁₂ = 9 – 4 × 1 = 5

A

5

B

6

C

7

D

8

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