Question # 1

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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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

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

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System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

A square matrix all of whose elements except the main diagonal are zeros is called a

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Null matrix

Singular matrix

Symmetric matrix

Diagonal matrix

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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

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matrix

Transpose

Symmetric

Non-symmetric

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

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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I

|A|

|A| I

None of these

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

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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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-a -b -c

1

0

-1

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

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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

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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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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

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

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Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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