Question # 1

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4A - 3I

3A - 4I

A - I

None of these

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

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k3

0

3k

k6

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

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

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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-3

-7

1

0

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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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If A is a non singular matrix then A^-1= ______

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Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

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Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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

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A

A'

-A

A

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all are correct

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

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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A

-A

A^t

A^-

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

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Non-singular

Symmetric

Singular

Non defined

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

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matrix

Transpose

Symmetric

Non-symmetric

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

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If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

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Orthogonal

Involutary

Idempotent

Nilpotent

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

Let A be a square matrix. Then, 1/2 (A-A') is

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Skew-symmetric

Symmetric

Null

None of the above

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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