Question # 1

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k3

0

3k

k6

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1

0

-1

2

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A^-

A^t

-A

A

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1

-1

0

I

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2

4

6

8

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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I

|A|

|A| I

None of these

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

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A

-A

A^t

A^-

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0

1

-2

10

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K/6

2K

3K

6K

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The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

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

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BA

A2

AB

B2

If A is singular then |A| = ______

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1

0

2

None of these

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

If A = |aij| 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

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16

256

64

1024

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

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A

A'

-A

A

If A and B are two matrices such that AB = B and BA =A, then A²+ B²=

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2 AB

2 BA

A + B

AB

A square matrix A for which A^t= -A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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3 x 1

1 x 3

3 x 3

1 x 1

If there are m rows and n columns in a matrix then its order is

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m x n

m x m

n x n

n x m

An equation of the form ax + by = k is homogeneous linear equation when:

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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2 x 3

3 x 2

2 x 5

5 x 2

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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

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