Question # 1

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A

-A

A^t

A^-

A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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At

-A

A

A-1

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0

1

-2

10

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 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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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

The square matrix A is skew-symmetric when At =

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-B

-C

-A

-D

We also 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

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

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

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-a -b -c

1

0

-1

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16

256

64

1024

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

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(2x4)

(2x7)

(2x3)

(7x2)

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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

The transpose of a column 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 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

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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3 x 1

1 x 3

3 x 3

1 x 1

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

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A2

A3

A

None of above

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2 x 2

2 x 3

3 x 2

3 x 3

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

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A2

A5

A3

A7

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2

4

6

8

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