Question # 1

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A^-

A^t

-A

A

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Square matrix

Row matrix

Symmetric matrix

Null matrix

If A is a non-singular matrix then adj A is

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Non-singular

Symmetric

Singular

Non defined

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Singular

Non-singular

Adjoint

None of above

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 diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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

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

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At Bt

AB

-AB

BA

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

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

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

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The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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Scalar matrix

Identity matrix

Null matrix

Symmetric 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

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A

-A

A^t

A^-

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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

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

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

Which of the following is an identity matrix?

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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

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The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

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0

1

-A

-1

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A²- 5A + 7I = 1

2A²- 3A + 7I = 0

A²- 5A + I = 0

A²- 5A + 7I = 0

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity 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 = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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

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