Question # 1

Ordered Pairs of two sets are called.

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Elements

Function

Cartesian product

None of the above

If the columns of a given matrix A and B are changed into rows and vice versa, the matrix thus obtained is called the.

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Symmetric matrix

Transpose of a matrix

Singular matrix

Rank of matrix

A positive definite Hessian fulfills the second order conditions for

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Maximum

Minimum

Both maximum and minimum

Mini max

If every element of a set B is also an elements of A then

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A is a subset of B

B is a subset of A

A is not a subset of B

B is not a subset of A

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

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Diagonal matrix

Orthogonal matrix

Unit matrix

Column vector

"No two elements of a set are identical" this statements is.

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Always true

Sometimes true

Not true

All of the above is possible

If A and B are symmetric matrices, then A +B is

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Symmetric

Non symmetric

Skew symmetric

Non skew symmetric

Which method is used for finding inverse of a matrix.

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Gauss elimination method

Henrich standard method

Co factor method

Both a and c

A square matrix a such that A2 = a is called.

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Orthogonal matrix

Skew symmetric matrix

Idempotent matrix

Singular matrix

if in a matrix , the number if rows is the same as the number of columns, it is called.

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Singular matrix

Non singular matrix

Square matrix

Column vector

any number raise to the power zero is always equal to.

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zero

one

two

The number itself

The determinant of a matrix and that of its transpose are

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Equal

Zero

One

Negatively related

If the determinant formed by the elements of the matrix A is equal to zero, then the matrix is.

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Skew symmetric

Singular

Symmetric

Non singular

Union of A with B is same as union of B with A, that is AUB = BUA is termed as

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Associative law of union

Cumulative law of union

Reflective law

All the above

if two sets do not have any common element, then they are called.

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Complement sets

Joint sets

Disjoint sets

None of these

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