MTH501 Quiz No.1 Shared by Imran

Question # 1 of 10 ( Start time: 09:52:17 PM ) Total Marks: 1
By using determinants, we can easily check that the solution of the given system of linear equation exits and it is unique.
Select correct option:
FALSE
TRUE

Question # 2 of 10 ( Start time: 09:53:11 PM ) Total Marks: 1
If a multiple of one row of a square matrix A is added to another row to produce a matrix B, then which of the following condition is true?
Select correct option:
detB = k detA
detB = detA
detA detB = 0
detA detB = detA

Question # 3 of 10 ( Start time: 09:54:09 PM ) Total Marks: 1
At what condition the Cramer’s formula is valid for linear systems?
Select correct option:
When matrix is n x n
When det(A) is equal to zero
When matrix is m x n
When det(A) in not equal to zero

Question # 4 of 10 ( Start time: 09:54:44 PM ) Total Marks: 1
A matrix has not the same determinant if we add a multiple of a column to another column.
Select correct option:
TRUE
FALSE

Question # 5 of 10 ( Start time: 09:55:30 PM ) Total Marks: 1
The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its main diagonal.
Select correct option:
TRUE
FALSE

Question # 6 of 10 ( Start time: 09:56:10 PM ) Total Marks: 1
Which of the following is the volume of the parallelepiped determined by the columns of A where A is a 3 x 3 matrix?
Select correct option:
|det A|
[A]
det A
A^(-1) ,that is inverse of A

Question # 7 of 10 ( Start time: 09:57:25 PM ) Total Marks: 1
For any 3x3 matrix A where det (A) = 3, then det (2A) = ________.
Select correct option:
24
20
15
6

Question # 8 of 10 ( Start time: 09:58:24 PM ) Total Marks: 1
Which one is not the axiom for vector space?
Select correct option:
0 + u = u
0.u = u
1.u = u
u + v = v + u

2

Question # 9 of 10 ( Start time: 09:58:58 PM ) Total Marks: 1
Which of the following is NOT the axiom for vector space where u, v, w in V are set of vectors and l, m, n are scalars?
Select correct option:
u + (v + w) = (u + v) + w
u.v =v.u
l (u + v)= l u + l v
(l +m) u= I u+ m u

Question # 10 of 10 ( Start time: 09:59:48 PM ) Total Marks: 1
If two rows or columns of a square matrix are identical, then det (A)wil be _______.
Select correct option:
zero
non zero
one
positive