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A matrix is
- a)A real number
- b)Either a real or a complex number
- c)An arrangement of mn numbers, over the given set S, in a rectangular array of m rows and n Columns.
- d)Same as determinant
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A matrix isa)A real numberb)Either a real or a complex numberc)An arra...
Explanation:
Definition of a Matrix:
- A matrix is an arrangement of mn numbers, over a given set S, in a rectangular array of m rows and n columns.
Characteristics of a Matrix:
- Each individual number in a matrix is called an element or entry.
- The numbers in a matrix can be real numbers, complex numbers, or elements from any other set.
- Matrices are widely used in various fields such as mathematics, physics, computer science, and engineering.
Types of Matrices:
- There are different types of matrices such as square matrices, row matrices, column matrices, diagonal matrices, etc.
- The properties and operations of matrices depend on the type of matrix.
Matrix Operations:
- Addition, subtraction, multiplication, and division are some of the key operations performed on matrices.
- Matrix multiplication is different from scalar multiplication and involves multiplying corresponding elements and summing them up.
Application of Matrices:
- Matrices are used in solving systems of linear equations, representing transformations in geometry, analyzing networks, and many other applications.
- They provide a compact and efficient way to represent and manipulate data in various mathematical and computational problems.
In conclusion, a matrix is an arrangement of numbers in a rectangular array, and it plays a crucial role in various mathematical and computational applications.
Definition of a Matrix:
- A matrix is an arrangement of mn numbers, over a given set S, in a rectangular array of m rows and n columns.
Characteristics of a Matrix:
- Each individual number in a matrix is called an element or entry.
- The numbers in a matrix can be real numbers, complex numbers, or elements from any other set.
- Matrices are widely used in various fields such as mathematics, physics, computer science, and engineering.
Types of Matrices:
- There are different types of matrices such as square matrices, row matrices, column matrices, diagonal matrices, etc.
- The properties and operations of matrices depend on the type of matrix.
Matrix Operations:
- Addition, subtraction, multiplication, and division are some of the key operations performed on matrices.
- Matrix multiplication is different from scalar multiplication and involves multiplying corresponding elements and summing them up.
Application of Matrices:
- Matrices are used in solving systems of linear equations, representing transformations in geometry, analyzing networks, and many other applications.
- They provide a compact and efficient way to represent and manipulate data in various mathematical and computational problems.
In conclusion, a matrix is an arrangement of numbers in a rectangular array, and it plays a crucial role in various mathematical and computational applications.
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Community Answer
A matrix isa)A real numberb)Either a real or a complex numberc)An arra...
As a matrix is a representation of a number who's determinants give us a value .. 8f it's not arranged like that then determinant can not be performed for that operation...
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A matrix isa)A real numberb)Either a real or a complex numberc)An arrangement of mn numbers, over the given set S, in a rectangular array of m rows and n Columns.d)Same as determinantCorrect answer is option 'C'. Can you explain this answer?
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