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The matrix in assignment model is
- a)square maxtrix
- b)rectangular matrix
- c)diagonal matrix
- d)unit matrix
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The matrix in assignment model isa)square maxtrixb)rectangular matrixc...
Assignment model can be solved by conventional linear programming approach or transportation model approach, it is square matrix, having equal number of rows and columns. The objective is to assign one item from row to one item from column so that total cost of assignement is minimum.
Most Upvoted Answer
The matrix in assignment model isa)square maxtrixb)rectangular matrixc...
Explanation:
The assignment model is used in operations research to solve problems related to assignment or allocation. This model involves assigning a set of tasks (or jobs) to a set of resources (or workers) in such a way that the total cost or time required is minimized. The assignment model can be represented mathematically using matrices.
Square Matrix:
A square matrix is a matrix in which the number of rows is equal to the number of columns. In other words, a square matrix has the same number of rows and columns. The assignment model is represented using a square matrix.
Rectangular Matrix:
A rectangular matrix is a matrix in which the number of rows is not equal to the number of columns. In other words, a rectangular matrix has a different number of rows and columns. The assignment model is not represented using a rectangular matrix.
Diagonal Matrix:
A diagonal matrix is a square matrix in which all the elements outside the main diagonal are zero. In other words, a diagonal matrix has non-zero elements only on the main diagonal. The assignment model is not represented using a diagonal matrix.
Unit Matrix:
A unit matrix is a diagonal matrix in which all the elements on the main diagonal are equal to 1. In other words, a unit matrix is a square matrix with 1's on the main diagonal and 0's elsewhere. The assignment model is not represented using a unit matrix.
Conclusion:
Hence, the correct answer is option 'A', which states that the matrix in the assignment model is a square matrix.
The assignment model is used in operations research to solve problems related to assignment or allocation. This model involves assigning a set of tasks (or jobs) to a set of resources (or workers) in such a way that the total cost or time required is minimized. The assignment model can be represented mathematically using matrices.
Square Matrix:
A square matrix is a matrix in which the number of rows is equal to the number of columns. In other words, a square matrix has the same number of rows and columns. The assignment model is represented using a square matrix.
Rectangular Matrix:
A rectangular matrix is a matrix in which the number of rows is not equal to the number of columns. In other words, a rectangular matrix has a different number of rows and columns. The assignment model is not represented using a rectangular matrix.
Diagonal Matrix:
A diagonal matrix is a square matrix in which all the elements outside the main diagonal are zero. In other words, a diagonal matrix has non-zero elements only on the main diagonal. The assignment model is not represented using a diagonal matrix.
Unit Matrix:
A unit matrix is a diagonal matrix in which all the elements on the main diagonal are equal to 1. In other words, a unit matrix is a square matrix with 1's on the main diagonal and 0's elsewhere. The assignment model is not represented using a unit matrix.
Conclusion:
Hence, the correct answer is option 'A', which states that the matrix in the assignment model is a square matrix.
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The matrix in assignment model isa)square maxtrixb)rectangular matrixc)diagonal matrixd)unit matrixCorrect answer is option 'A'. Can you explain this answer?
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The matrix in assignment model isa)square maxtrixb)rectangular matrixc)diagonal matrixd)unit matrixCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The matrix in assignment model isa)square maxtrixb)rectangular matrixc)diagonal matrixd)unit matrixCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The matrix in assignment model isa)square maxtrixb)rectangular matrixc)diagonal matrixd)unit matrixCorrect answer is option 'A'. Can you explain this answer?.
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