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Mathematical Methods by Pearson
book

Mathematical Methods by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
437 pages
17h 41m
English
Pearson India
Content preview from Mathematical Methods by Pearson
Code No. R07A1BS06 Set No. 1
I B. Tech. Supplementary Examination Aug./Sep. 2008
Mathematical Methods
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All questions carry equal marks
1. (a) Solve the system 2x y + 3z = 0,
3x + 2y + z = 0 and x 4y + 5z = 0.
(b) Find all the solutions of the system of
equations x + 2y z = 0, 2x + y + z = 0,
x 4y + 5z = 0. [8 + 8]
2. Find the eigenvalues and eigenvectors of
164
04 2
063
−−
⎡⎤
⎢⎥
⎢⎥
⎢⎥
−−
⎣⎦
. [16]
3. Find the transformation that will transform
10x
2
+ 2y
2
+ 5z
2
+ 6yz 10zx 4xy into a sum
of squares and fi nd its reduced form. [16]
4. (a) Solve the equation x
3
+ x
2
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Publisher Resources

ISBN: 9781299446557Publisher Website