Question # 1

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

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I

|A|

|A| I

None of these

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

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 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

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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9/4

4/9

1

None of these

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If A is singular then |A| = ______

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1

0

2

None of these

We also the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a, b and c

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

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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0

Independent of a

Independent of b

Independent of c

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k3

0

3k

k6

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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16

None of these

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

If A is a non singular matrix then A^-1= ______

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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

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

A matrix with a single column is called

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Column matrix

Row matrix

Identity 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 order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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1

0

-1

2

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4A - 3I

3A - 4I

A - I

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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