MTH501 Quiz No.1 Shared by Ali Raza BCS_4th

For any subspace W of a vector space V. which one is not the axiom for subspace.

0 must be in W.

For all u, v in W and u – v must be in W.

For all u, v in W and u.v must be in W.

For any scalar k and u in W then k.u in W.

Which one is not the axiom for vector space?

0 + u = u

0.u = u

1.u = u

u + v = v + u

The Gauss-Seidel method is applicable to strictly diagonally dominant matrix.

TRUE

FALSE

By using determinants, we can easily check that the solution of the given system of linear equation exits and it is unique.

At what condition det(AB)=(detA)(detB) is possible?

When A and B are n x n matrices

When A is a row matrix

When A and B are m x n matrices

When B is a column matrix

For any 3x3 matrix A where det (A) = 3, then det (2A) = ________.

24

20

15

6

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?

detB = detA

detB = k detA

detA detB = 0

detA detB = detA

The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its main diagonal.

TRUE

FALSE

While using the Cramer’s rule, if determinant D = 0, and other determinant is not zero then how many solutions are there?

Many solutions

No solution

Two solutions

One solution

Which of the following is all permutations of {1,2}?

(1,2,2,1)