Question:

If A& B are symmetric matrix, then AB – BA is

A.

symmetric

B.

skew symmetric matrix

C.

idempotent matrix

D.

orthogonal matrix

Answer» b. skew symmetric matrix

Question:

If matrix A is a matrix of order nxm and B is another matrix of order mxn, then BA will be thematrix of order

A.

nxm

B.

mxn

C.

nxn

D.

mxm

Answer» d. mxm

Question:

A matrix with all elements zero other than all the diagonals is called

A.

diagonal matrix

B.

orthogonal matrix

C.

unit matrix

D.

column vector

Answer» a. diagonal matrix

Question:

if all the elements below the leading diagonal are zero in a square matrix, it is

A.

lower triangular matrix

B.

identity matrix

C.

inverse matrix

D.

upper triangular matrix

Answer» b. identity matrix

Question:

A square matrix A, such that A = A’, is called a

A.

symmetric matrix

B.

skew-symmetric matrix

C.

singular matrix

D.

rank of a matrix

Answer» a. symmetric matrix

Question:

“No two elements of a set are identical”. This statement is

A.

always true

B.

sometimes true

C.

not true

D.

all of the above is possible

Answer» b. sometimes true

Question:

If the columns of a given matrix A and B are changed into rows and vice-versa, the matrix thusobtained is called the

A.

symmetric matrix

B.

transpose of a matrix

C.

singular matrix

D.

rank of a matrix

Answer» b. transpose of a matrix

Question:

If AΠ B =Ø , then A and B are called

A.

disjoint set

B.

complement set

C.

unit set

D.

empty et

Answer» a. disjoint set

Question:

If in a matrix any two rows or columns are identical or proportional or linearly dependent, thedeterminant will be

A.

equal

B.

zero

C.

unity

D.

infinity

Answer» b. zero

Question:

Ordered pairs of two sets are called

A.

elements

B.

function

C.

cartesian product

D.

none of the above

Answer» a. elements