WorksheetsAAT-2: Module-1
Total questions: 10
Worksheet time: 5mins
Name
Class
Date
1.
A square matrix ‘A’ is said to be lower triangular matrix if
a)
All the elements above the principal diagonal are zero
b)
All the elements below the principal diagonal are zero
c)
All the elements of the matrix are zero
d)
None of the above
2.
A square matrix ‘A’ is said to be upper triangular matrix if
a)
All the elements above the principal diagonal are zero.
b)
All the elements below the principal diagonal are zero.
c)
All the elements of the matrix are zero.
d)
None of the above.
3.
A square matrix ‘A’ is said to be diagonal matrix if
a)
All the elements other than principal diagonal elements are zero.
b)
All the elements of the matrix are zero.
c)
All the elements below the principal diagonal are zero.
d)
None of the above
4.
a)
5, 2,1
b)
5/3, 2/3,1
c)
5/2, 2/2, 3
d)
1, 2, -3
5.
The rank of a matrix ‘A’ in its echelon form is equal to
a)
The number of non-zero rows in its echelon form
b)
The number of zero rows in its echelon form.
c)
The number of rows in its echelon form.
d)
None of the above
6.
A square matrix ‘A’ is said to be singular if
a)
Det(A) is equal to zero
b)
Det(A) is not equal to zero
c)
Det(A) is less than zero
d)
Det(A) is greater than zero
7.
The non-homogeneous system of equations represented by the matrix AX=B is having infinite solutions if (n= number of variables in the given system of equation,r=rank of the given matrix)
a)
Rank of A= Rank of [A:B]=r < n
b)
Rank of A= Rank of [A:B]=r > n
c)
Rank of A= Rank of [A:B]=r = n
d)
None of the above
8.
The non-homogeneous system of equations represented by the matrix AX=B is consistent if
a)
Rank of A= Rank of [A:B]
b)
Rank of A
c)
Rank of A> Rank of [A:B]
d)
None of the above.
9.
In Gauss Jordan elimination method, the coefficient matrix A is reduced to
a)
Diagonal matrix
b)
Upper triangular matrix
c)
Lower triangular matrix
d)
Square matrix
10.
In Rayleigh's method, to determine the numerically largest eigen value and the corresponding eigen vector of a square matrix, the initial eigen vector is
a)
[1, 1, 0]'
b)
[1, 0, 1]'
c)
[1, 1, 1]'
d)
[0, 1, 1]'
100 %
