Question # 1

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2 x 2

2 x 3

3 x 2

3 x 3

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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0

abc

1/abc

None of these

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

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

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At Bt

AB

-AB

BA

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

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

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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3 x 1

1 x 3

3 x 3

1 x 1

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

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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0

1

-2

10

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

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers

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