Question # 1

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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A^-

A^t

-A

A

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4A - 3I

3A - 4I

A - I

None of these

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Rank of matrix [1 3 5 0] is

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1

3

2

4

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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At

-A

A

A-1

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

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A²- 5A + 7I = 1

2A²- 3A + 7I = 0

A²- 5A + I = 0

A²- 5A + 7I = 0

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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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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

If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

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A2

A5

A3

A7

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

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A-1 B-1

AB-1

A-1B

B-1A-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

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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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

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5

-5

none

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0

1

2

4

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

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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

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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I

|A|

|A| I

None of these

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