Question # 1

If A is a non singular matrix then A^-1= ______

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The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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2s²

2s³

s³

3s³

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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

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0

1

2

3

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

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The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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2

4

6

8

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

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

-A

A^t

A^-

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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0

Independent of a

Independent of b

Independent of c

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

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3 x 3

3 x 2

2 x 5

5 x 2

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

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A²- 5A + 7I = 1

2A²- 3A + 7I = 0

A²- 5A + I = 0

A²- 5A + 7I = 0

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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