Question # 1

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

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Triangular matrix

Identity matrix

Diagonal matrix

Scalar matrix

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2 x 2

2 x 3

3 x 2

3 x 3

A matrix in which the number of rows is not equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

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(2x4)

(2x7)

(2x3)

(7x2)

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

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Square matrix

Row matrix

Symmetric matrix

Null matrix

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A square matrix A = [aij] is lower triangular matrix when:

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aij = 0 for all i < j

bij = 0

cij = 0

dij =0

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I

|A|

|A| I

None of these

A square matrix all of whose elements except the main diagonal are zeros is called a

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Null matrix

Singular matrix

Symmetric matrix

Diagonal matrix

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

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2

4

6

8

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If A is a non-singular matrix then adj A is

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Non-singular

Symmetric

Singular

Non defined

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

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3 x 3

3 x 2

2 x 5

5 x 2

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Singular

Non-singular

Adjoint

None of above

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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3 x 2

2 x 3

3 x 3

2 x 2

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2 x 2

2 x 3

3 x 2

3 x 3

A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

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ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers

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