GATE Civil Engineering (CE) 2023 Shift 2 Solved Paper

Question : 38 of 65

Marks: +1, -0

Cholesky decomposition is carried out on the following square matrix [𝐴].

[A] = {[\table 8 , −5 ; \text" −5" , a_{22} ; ]}

Let 𝑙_ij and 𝑎ij be the (i, j)^th elements of matrices [𝐿] and [𝐴], respectively. If the element 𝑙₂₂ of the decomposed lower triangular matrix [𝐿] is 1.968, what is the value (rounded off to the nearest integer) of the element 𝑎₂₂?

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