Question # 1

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A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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all

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I

14 I

0

None of these

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

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BA

A2

AB

B2

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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

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

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

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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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In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

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

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At Bt

AB

-AB

BA

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0

abc

1/abc

None of these

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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

Let A be a square matrix. Then, 1/2 (A-A') is

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Skew-symmetric

Symmetric

Null

None of the above

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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 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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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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

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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