Question # 1

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

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2

4

6

8

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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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Singular

Non-singular

Adjoint

None of above

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0

Independent of a

Independent of b

Independent of c

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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Which of the following is skew symmetric matrix

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2 x 2

2 x 3

3 x 2

3 x 3

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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Identity matrix

Diagonal matrix

Null matrix

Hermitian matrix

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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

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3 x 1

1 x 3

3 x 3

1 x 1

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

A matrix in which the number of rows is 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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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

The square matrix A is skew Hermitian when (A)'=

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A

A'

-A

A

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K/6

2K

3K

6K

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers

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