Find a matrix that represents the relation

In summary, a matrix is a rectangular array used to represent mathematical and scientific data. It can represent any type of relation, including non-numeric relationships. To find a matrix that represents a given relation, identify the elements and fill in the entries with the appropriate relationships. Using a matrix to represent a relation allows for easier manipulation and analysis, as well as the application of mathematical operations.
  • #1
nicnicman
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Homework Statement



Find the matrix that represents the given relation. Use elements in the order given to determine rows and columns of the matrix.

R on {2, 3, 4, 6, 8, 9, 12} where aRb means a|b.

Homework Equations





The Attempt at a Solution



1 0 1 1 1 0 1
0 1 0 1 0 1 1
0 0 1 0 1 0 1
0 0 0 1 0 0 1
0 0 0 0 1 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 1

I just want to make sure I'm doing this right. How does this look?
 
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  • #3
Nice. Thanks.
 

1. What is a matrix?

A matrix is a rectangular array of numbers or symbols arranged in rows and columns. It is used to represent mathematical and scientific data, and can be manipulated using various operations.

2. How is a relation represented by a matrix?

A relation can be represented by a matrix in which the rows and columns correspond to the elements of the relation. The entry in each row and column represents the relationship between the corresponding elements.

3. What type of relation can be represented by a matrix?

A matrix can represent any type of relation, including linear, quadratic, exponential, and trigonometric relationships. It can also represent non-numeric relationships, such as the relationship between two words or concepts.

4. How can I find a matrix that represents a given relation?

To find a matrix that represents a given relation, first identify the elements of the relation. Then, arrange the elements in rows and columns, and fill in the entries with the appropriate relationships between the elements. The resulting matrix will represent the given relation.

5. What is the significance of using a matrix to represent a relation?

Using a matrix to represent a relation allows for easier manipulation and analysis of the relationship between elements. It also allows for the application of various mathematical operations, such as matrix multiplication, to better understand the relationship between elements.

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