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Total No. of Questions : 7
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[2]
Roll No. ........................
MCSE/MSE-101
M.E./M.Tech., I Semester
Examination, December 2023
Advanced Computational Mathematics
Time : Three Hours
Maximum Marks : 70
Note: i) Attempt any five questions.
ii) All questions carry equal marks.
1.
I Find a basis and the dimension of
i) U + W
ii) U ∩ W where
U = span {(1, 3, −2, 3), (1, 4, −3, 4), (2, 3, −1, −2, 9)}
W = span {(1, 3, 0, 2), (1, 5, −6, 6), (3, 2, 5, 3, 2, 1)}
2.
a) State and prove the Rodrigues formula for Hermite polynomial.
b) Find the Fourier transform of