Question # 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

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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

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

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

Rank of matrix [1 3 5 0] is

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1

3

2

4

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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A^-

A^t

-A

A

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

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Non-singular

Symmetric

Singular

Non defined

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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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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0

Independent of a

Independent of b

Independent of c

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16

None of these

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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0

abc

1/abc

None of these

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

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matrix

Transpose

Symmetric

Non-symmetric

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

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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0

1

-A

-1

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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

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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9/4

4/9

1

None of these

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a²b²c²

4a²b²c²

4abc

None

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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