Question # 1

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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

We also 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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Orthogonal

Involutary

Idempotent

Nilpotent

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A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

A and B be two square matrices and if their inverse exist the (AB)-1 =

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A-1 B-1

AB-1

A-1B

B-1A-1

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

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If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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I3

rI3

r

none

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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2 x 2

2 x 3

3 x 2

3 x 3

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

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

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all are correct

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

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A^-

A^t

-A

A

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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

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

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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers

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