GATE CE 2023 Set 2 — Question 38
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Engineering Mathematics → Linear Algebra → Linear Algebraic Equations
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Question
Cholesky decomposition is carried out on the following square matrix .Let and be the elements of matrices and , respectively. If the element of the decomposed lower triangular matrix is 1.968, what is the value (rounded off to the nearest integer) of the element ?
Correct answer
(B) 7
Solution
Cholesky decomposition of a symmetric positive definite matrix is given by , where is a lower triangular matrix.Let .Then .Given .By comparing the elements of and :
1.
2.
3.
Given , we substitute the values into the equation for :Rounding off to the nearest integer, we get .Continue learning with Success Tracker
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