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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
FILL IN THE BLANKS
CHAPTER 1 MATRICES AND LINEAR
S
YSTEMS OF EQUATIONS
1. If A =
21
31
⎡⎤
⎢⎥
⎣⎦
and B =
12
52
⎡⎤
⎢⎥
⎣⎦
then det (AB) =
_______. Ans:
60
2. The cofactor of ‘2’ in
113
13
3
24
4
A
⎡⎤
⎢⎥
=−
⎢⎥
⎢⎥
−−
⎣⎦
is
_______. Ans:
12
3. The minor of a
32
element in matrix A in Question
2 is _______. Ans: 6
4. For matrix A in Question 2 det A = _______.
Ans: –8
5. (Adj I ) = _______. Ans: I
6. If A is an nth order square matrix, then Adj (kA)
is _______. Ans: k
n1
(Adj A)
7. If the system AX = B is consistent then for
unique solution, A must be a _______ matrix.
Ans: Nonsingular
8. The matrix
104
523
072
⎡⎤
⎢⎥
⎢⎥
⎢⎥
⎣⎦
is a/an _______ matrix.
Ans:
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Publisher Resources

ISBN: 9781299446557Publisher Website