Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  Consider the following statements1. The rows ... Start Learning for Free
Consider the following statements
1. The rows of the incidence matrix [A] represent the number of branches and the column of the matrix represents the number of nodes in the given graph.
2. The algebraic sum of elements of all the columns is zero.
3. The rank of the incidence matrix is (n–1) where n is the number of nodes.
4. The determinant of the incidence matrix of a closed loop is equal to unity.
Which of the above statements are correct?
  • a)
    1, 2 and 3 only
  • b)
    2 and 3 only
  • c)
    1, 3 and 4 only
  • d)
    1, 2, 3 and 4
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Consider the following statements1. The rows of the incidence matrix [...
Incidence matrix:
  • It is the matrix that gives a relation between the branches and nodes.
  • The rows of the incidence matrix [A] represent the number of nodes and the column of the matrix represents the number of branches in the given graph.
  • If there are ‘n’ number of rows in a given incidence matrix[A], that means in a graph there are ‘n’ number of nodes. 
  • Similarly, if there are ‘b’ number of columns in that given incidence matrix[A], that means in that graph there are ‘b’ number of branches.
  • We can construct the incidence matrix for the directed graph. We can draw a graph with the help of the incidence matrix.
  • The algebraic sum of elements of all the columns is zero.
  • The rank of the incidence matrix is (n – 1).
  • The determinant of the incidence matrix of a closed loop is zero.
Hence, Only statement I is correct.
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Consider the following statements1. The rows of the incidence matrix [...
Incidence matrix:
  • It is the matrix that gives a relation between the branches and nodes.
  • The rows of the incidence matrix [A] represent the number of nodes and the column of the matrix represents the number of branches in the given graph.
  • If there are ‘n’ number of rows in a given incidence matrix[A], that means in a graph there are ‘n’ number of nodes. 
  • Similarly, if there are ‘b’ number of columns in that given incidence matrix[A], that means in that graph there are ‘b’ number of branches.
  • We can construct the incidence matrix for the directed graph. We can draw a graph with the help of the incidence matrix.
  • The algebraic sum of elements of all the columns is zero.
  • The rank of the incidence matrix is (n – 1).
  • The determinant of the incidence matrix of a closed loop is zero.
Hence, Only statement I is correct.
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Consider the following statements1. The rows of the incidence matrix [A] represent the number of branchesand the column of the matrix represents the number of nodesin the given graph.2. The algebraic sum of elements of all the columns is zero.3. The rank of the incidence matrix is (n–1) where n is the number of nodes.4. The determinant of the incidence matrix of a closed loop is equal to unity.Which of the above statements are correct?a)1, 2 and 3 onlyb)2 and 3 onlyc)1, 3 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'B'. Can you explain this answer?
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Consider the following statements1. The rows of the incidence matrix [A] represent the number of branchesand the column of the matrix represents the number of nodesin the given graph.2. The algebraic sum of elements of all the columns is zero.3. The rank of the incidence matrix is (n–1) where n is the number of nodes.4. The determinant of the incidence matrix of a closed loop is equal to unity.Which of the above statements are correct?a)1, 2 and 3 onlyb)2 and 3 onlyc)1, 3 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Consider the following statements1. The rows of the incidence matrix [A] represent the number of branchesand the column of the matrix represents the number of nodesin the given graph.2. The algebraic sum of elements of all the columns is zero.3. The rank of the incidence matrix is (n–1) where n is the number of nodes.4. The determinant of the incidence matrix of a closed loop is equal to unity.Which of the above statements are correct?a)1, 2 and 3 onlyb)2 and 3 onlyc)1, 3 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements1. The rows of the incidence matrix [A] represent the number of branchesand the column of the matrix represents the number of nodesin the given graph.2. The algebraic sum of elements of all the columns is zero.3. The rank of the incidence matrix is (n–1) where n is the number of nodes.4. The determinant of the incidence matrix of a closed loop is equal to unity.Which of the above statements are correct?a)1, 2 and 3 onlyb)2 and 3 onlyc)1, 3 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'B'. Can you explain this answer?.
Solutions for Consider the following statements1. The rows of the incidence matrix [A] represent the number of branchesand the column of the matrix represents the number of nodesin the given graph.2. The algebraic sum of elements of all the columns is zero.3. The rank of the incidence matrix is (n–1) where n is the number of nodes.4. The determinant of the incidence matrix of a closed loop is equal to unity.Which of the above statements are correct?a)1, 2 and 3 onlyb)2 and 3 onlyc)1, 3 and 4 onlyd)1, 2, 3 and 4Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
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