MTH501 Quiz No.1 Shared by Muhammad Sweet Doll

Question # 1 of 10 ( Start time: 10:30:38 PM ) Total Marks: 1
If A is strictly diagonally dominant, then A is _________.
Select correct option:
invertible
singular
symmetric
scalar

Question # 2 of 10 ( Start time: 10:31:17 PM ) Total Marks: 1
The Gauss-Seidel method is applicable to strictly diagonally dominant matrix.
Select correct option:
TRUE
FALSE

Question # 3 of 10 ( Start time: 10:32:00 PM ) Total Marks: 1
If the absolute value of each diagonal entry exceeds the sum of the absolute values of the other entries in the same row then a matrix A is called:
Select correct option:
invertible
strictly diagonally dominant
diagonally
scalar

Question # 4 of 10 ( Start time: 10:33:26 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 # 5 of 10 ( Start time: 10:33:52 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

Question # 6 of 10 ( Start time: 10:34:16 PM ) Total Marks: 1
Let W = {(x, y) such that x, y in R and x = y}. Is W a vector subspace of plane.
Select correct option:
YES
NO

Question # 7 of 10 ( Start time: 10:34:58 PM ) Total Marks: 1
If A is a triangular matrix, then det(A) is the product of the entries on the ________.
Select correct option:
main diagonal of A
first two rows of A
diagonal of A
first two columns of A

Question # 8 of 10 ( Start time: 10:35:59 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 # 9 of 10 ( Start time: 10:36:55 PM ) Total Marks: 1
If a matrix A is invertible than adj(A) is also invertible.
Select correct option:
TRUE
FALSE

Question # 10 of 10 ( Start time: 10:37:57 PM ) Total Marks: 1
If all the entries of a row or a column of a square matrix are zero, then det (A) will be _____________.
Select correct option:
zero
infinity
one
non zero