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# Engineering Maths - Linear Algebra Online Exam Quiz

Important questions about Engineering Maths - Linear Algebra. Engineering Maths - Linear Algebra MCQ questions with answers. Engineering Maths - Linear Algebra exam questions and answers for students and interviews.

Options

A : 0

B : 1

C : 2

D : 3

### 2. A set of linear equations is represented by the matrix equation Ax = b. The necessary condition for the existence of a solution for this system is

Options

A : A must be invertible

B : b must be linearly depended on the columns of A

C : b must be linearly independent of the columns of A

D : None of these

Options

A : 1/2

B : 1/4

C : 3/4

D : 1

Options

A : 0

B : 1

C : 2

D : 3

### 5. If A and B are square matrices of size n x n, then which of the following statement is not true?

Options

A : det. (AB) = det (A) det (B)

B : det (kA) = k n det (A)

C : det (A + B) = det (A) + det (B)

D : det (A T ) =1/det (A -1 )

Options

A : (0,0)

B : (1,1)

C : (0,1)

D : (1,2)

Options

A : 1

B : 2

C : 3

D : 5

Options

A : 2

B : 4

C : 6

D : 8

### 49. The system of equations

Options

A : a 1 b 1 = a 2 b 2

B : a 1 b 2 = a 2 b 1

C : a 1 a 2 = b 1 b 2

D : none of these

### 50. The solution of the given matrix equation is

Options

A : x 1 =0, x 2 =0, x 3 =0

B : x 1 =1, x 2 =1, x 3 =0

C : x 1 =0, x 2 =1, x 3 =1

D : x 1 =2, x 2 =-5, x 3 =-1

### 51. If product of matrix

Options

A : odd multiple of π

B : even multiple of π

C : odd multiple of π/2

D : even multiple of π/2

### 52. Sum of the eigen values of the matrix

Options

A : greater than zero

B : less than zero

C : zero

D : dependent on value of x

### 53. The system of equations

Options

A : no solutions

B : only one solution

C : two solutions

D : infinite number of solutions

### 54. The system of equations

Options

A : no solutions

B : only one solution

C : two solutions

D : infinite number of solutions

Options

A : 0,0,0

B : 0,0,1

C : 0,0,3

D : 1,1,1

Options

A : [5 6 4]

B : [5 -3 1]

C : [2 0 1]

D : [2 -1 1/2]

Options

A : 5

B : 7

C : 9

D : 18

Options

A : 4

B : 6

C : 8

D : 12

### 59. Rank of the matrix,

Options

A : 1

B : 2

C : 3

D : none of these

Options

A : (1,0)

B : (0,1)

C : (1,1)

D : (1,-1)