Question # 1

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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A²- 5A + 7I = 1

2A²- 3A + 7I = 0

A²- 5A + I = 0

A²- 5A + 7I = 0

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

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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9/4

4/9

1

None of these

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

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4A - 3I

3A - 4I

A - I

None of these

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(2x4)

(2x7)

(2x3)

(7x2)

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I

|A|

|A| I

None of these

If for the matrix A,A5 = 1,then A-1=

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A2

A3

A

None of above

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

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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Singular

Non-singular

Adjoint

None of above

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0

1

2

3

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

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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System of linear equations is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column 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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Square matrix

Row matrix

Symmetric matrix

Null matrix

A matrix in which the number of rows is equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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

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

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

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