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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
2-12 Mathematical Methods
5. Show that Adj A = B
0
+ lB
1
+ l
2
I where
01
44 2 102
2 2 2 and 0 1 2
121 122
BB
−−
⎡⎤⎡⎤
⎢⎥⎢⎥
=− =
⎢⎥⎢⎥
⎢⎥⎢⎥
−−−
⎣⎦⎣⎦
if
102
01
2
120
A
⎡⎤
⎢⎥
=
⎢⎥
⎢⎥
⎣⎦
6.
State the Cayley–Hamilton Theorem and verify for
300
540
361
A
⎡⎤
⎢⎥
=
⎢⎥
⎢⎥
⎣⎦
. [JNTU 1999]
7. Verify the Ca
yley–Hamilton Theorem for
311
15
1
113
A
⎡⎤
⎢⎥
=−
⎢⎥
⎢⎥
⎣⎦
. F
ind A
1
. [JNTU 2002]
Ans:
1
72 3
1
10 4 1
20
22 8
A
⎡⎤
⎢⎥
=
⎢⎥
⎢⎥
⎣⎦
8. Verify the Cayley–Hamilton Theorem for
113
13
3
244
A
⎡⎤
⎢⎥
=−
⎢⎥
⎢⎥
−−−
⎣⎦
.
[JNTU November 2003]
9. V
erify the Cayley–Hamilton Theorem for
211
12 1
111
A
⎡⎤
⎢⎥
=−
⎢⎥
⎢⎥
⎣⎦
. F
ind A
1
. [JNTU 2000 S, 2002]
Ans:
1
31 1
1
131
4
11 3
A
⎡⎤
⎢⎥
=
⎢⎥
⎢⎥
⎣⎦
10. Verify the Cayle
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Publisher Resources

ISBN: 9781299446557Publisher Website