Question # 1

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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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null 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

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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1

0

-1

2

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Square matrix

Row matrix

Symmetric matrix

Null matrix

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

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

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

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For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

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

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If A = [a_ij] 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

The transpose of a row 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

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2

4

6

8

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all are correct

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