Question # 1

If every element of a raw of column of a square matrix A is zero, then the value of the determinant. is.

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Equal

One

zero

Not equal

A determinant composed of all the first order partial derivatives of a system of equations, arranged in ordered sequence is called.

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Hassian determinatn

Jacobian determiant

Discrimianant

First order determinant

In a matrix , if there is only one row but any number of columns, it is called.

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Row matrix

Column matrix

Raw vector

Both a and c

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

A set totality of elements from all possible sets is called.

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Union set

Intersection set

Universal set

Unit set

If the determinant formed by the elements of the matrix is not equal to zero, then the matrix is called.

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Skew symmetric

Symmetric

Singular

Non -singular

The set of 'stars in the sky' is an example of

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Countable set

Infinite set

Finite set

unit set

Who is regarded as the founder of theory of sets.

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Adam Smith

Karl Frederich Gauss

George cantor

Euller

The point at which the graph cuts the x axis is called.

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x- intercept

y - intercept

slope

None of these

A negative definite Hessian fulfills the second order conditions for.

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Maximum

Minimum

both maximum and minimum

Mini max

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

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Symmetric matrix

Skew symmetric matrix

Singular matrix

Rank of a matrix

If all the elements of a matrix of any order are zero, it is called.

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Identity matrix

Null matrix

Zero matrix

Both b and c

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

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

If A is a square matrix of order ' n' and lis the unit matrix of the same order then A 1 is equal to.

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A

1A

1

Both a and b

The simplest form of rectangular hyperbola is

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y = 1/x

y = x2

y = x-2

y = x3

A inverse is defined only if A is a

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Square matrix

Column vector

Orthogonal matrix

Skew symmetric matrix

A positive definite Hessian fulfills the second order conditions for

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Maximum

Minimum

Both maximum and minimum

Mini max

If matrix A is of m x n dimension, then A will be

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n x m dimension

m x n dimension

n x p dimension

m x m dimension

if we are told that the two statements y = 3x2 and y = x + 10' are bout true at the same time , they are called.

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Implicit functions

explicit functions

Simultaneous equations

Quadratic equations

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