Question # 1

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

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1

0

-1

2

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all are correct

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

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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Every identity matrix is

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Row-vector

Scalar

Column-vector

All

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

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If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n 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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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

If A = [a_ij] is (m x n) matrix, then transpose of A is of the order

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m x m

m x n

n x n

n x m

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

Which of the following is an identity matrix?

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none of these

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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

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2 x 2

2 x 3

3 x 2

3 x 3

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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

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I

|A|

|A| I

None of these

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

Which of the following is skew symmetric 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

Rank of matrix [1 3 5 0] is

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1

3

2

4

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(2x4)

(2x7)

(2x3)

(7x2)

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers

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