Question # 1

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

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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all

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

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

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matrix

Transpose

Symmetric

Non-symmetric

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5

15

10

20

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

The transpose of a column 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

A matrix with a single row is called a

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Column matrix

Row matrix

Null 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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0

1

-A

-1

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

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

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0

1

2

3

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

Two matrices A and B are conformable for the product AB if

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Both A and B are square

Both A and B are symmetric

Number of rows of A = number of columns of B

Number of columns of A = number of rows of B

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

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The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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3 x 2

2 x 3

3 x 3

2 x 2

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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

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A2

A5

A3

A7

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

A square matrix A = [aij] is lower triangular matrix when:

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aij = 0 for all i < j

bij = 0

cij = 0

dij =0

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Singular

Non-singular

Adjoint

None of above

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