Question # 1

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A^-

A^t

-A

A

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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1

-1

0

I

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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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

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

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

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

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A2

A3

A

None of above

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(2x4)

(2x7)

(2x3)

(7x2)

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a²b²c²

4a²b²c²

4abc

None

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

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

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Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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0

1

2

3

The additive inverse of a matrix A is

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None of these

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

Rank of matrix [1 3 5 0] is

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1

3

2

4

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K/6

2K

3K

6K

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

If A is singular then |A| = ______

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1

0

2

None of these

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16

256

64

1024

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

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