Question # 1

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

An equation of the form ax + by = k is homogeneous linear equation when:

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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

An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

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

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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

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

If A = |aij| is (m x n) matrix then transpose of A is of the order

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m x m

m x n

n x n

n x m

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Singular

Non-singular

Adjoint

None of above

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Null matrix

Triangular matrix

Unit matrix

Rectangular matrix

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |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

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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9/4

4/9

1

None of these

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3 x 2

2 x 3

3 x 3

2 x 2

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

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At Bt

AB

-AB

BA

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Which of the following is skew symmetric matrix

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Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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I

|A|

|A| I

None of these

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

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

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Null matrix

Identity matrix

Scalar matrix

Row matrix

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

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

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