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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
Multiple Choice Questions A-11
8. If the matrix of the quadratic form y
2
+ 2z
2
+
10xy + 12yz is
00
1
02
a
ab
b
⎡⎤
⎢⎥
⎢⎥
⎢⎥
⎣⎦
then (a, b) =
(a) (5, 4) (b) (3, 4)
(c) (4, 5) (d) (5, 6)
Ans: (d)
9. The rank of the quadratic form x
2
+ 3y
2
+ 3z
2
2yz is
(a) 1 (b) 2 (c) 3 (d) 0 Ans: (c)
10. The nature of the quadratic form 2xy + 2yz +
2zx is
(a) Positive definite (b) Negative definite
(c) Indefinite (d) Positive semidefinite
Ans: (c)
11. The index of the quadratic form x
2
+ 3y
2
+ 4z
2
is
(a) 3 (b) 2 (c) 1 (d) 0 Ans: (a)
12. The singnature of x
2
+ 2xz is
(a) 1 (b) 0 (c) 2 (d) 3 Ans: (b)
13. The rank of the quadratic form x
2
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Publisher Resources

ISBN: 9781299446557Publisher Website