Chapter 03: Matrices and Determinants
3)
The transpose of a row matrix is a
a)
column matrix
b)
row matrix
c) scalar matrix d)
null matrix
4)
The transpose of a rectangular matrix is a
a)
square matrix
b)
rectangular matrix
c) row matrix d)
column matrix
5)
The number of non zero rows in echelon form of a
matrix is called
a)
order of matrix
b)
rank of matrix
c) row operation d)
none of these
6)
The additive inverse of a matrix A is adjA
a)
b) –A
| A|
c) A–1 d)
None of these
7)
Cofactor of an element aij is defined
by
a)
(–1)i+j |A| b)
(–1)i+j Mij
c) (–1)i+j M–1 d)
None of these
10)
Matrices are represented by
a)
natural numbers
b)
real numbers
c) small letters d)
capital letters
13)
If A,B,C are three matrices such that AB = C,
then
a)
B = A–1C b)
C–1 A = B
c) B = CA d)
B = AC
14)
The solution of the system of equations
3x1 + x2
– x3 = –4 x1
+ x2 – 2x3 = –4
–x1
+ 2x2 – x3 = 1
is
a)
x1 = 1, x2 = –1, x3
= 2 b)
x1 = –1, x2
= 1, x3 = 2
c) x1 = 2, x2 = 2, x3
= 1 d)
x1 = –2, x2
= 2, x3 = –1
15)
Bt At = (?)t
a)
BA b)
AB
c) AtB d)
ABt
16)
If a square matrix, ( A )t = A is
called
a)
Symmetric b)
Skew Symmetric
c) Hermition d)
Skew Hermition
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