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ELEMENT

Element

Definition Of Element

Each entry in a matrix is called an Element.

More About Element

Element of a set: Numbers, letters of the alphabet or any other object in a set are called elements of the set. 
For example, the elements of the set {2, 7, 3} are 2, 3, and 7.

Video Examples:Element count -Concept
 

Example of Element

The elements of the matrix example of  Element  are 2, 5, - 4, and 3.

Solved Example on Element

Ques: Identify the element in the second row, second column of the matrix  example of  Element

Choices:

A. 4
B. 3
C. 2
D. - 4
Correct Answer: D

Solution:

Step 1: The matrix  example of  Element  has 2 rows and 3 columns.
Step 2: The element in the 2nd row, 2nd column of the matrix is - 4.

Quick Summary

  • An element is a single entry within a matrix or a set.
  • Elements in a matrix are identified by their row and column number.
  • Elements in a set are the distinct objects that belong to the set.
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🍎 Teacher Insights

Emphasize the difference between elements and the overall structure. Use visual aids to illustrate row and column positions in matrices.

🎓 Prerequisites

  • Sets
  • Basic Algebra

Check Your Knowledge

Q1: What is the element in the second row, second column of the matrix [[1, 2, 3], [4, -4, 6]]?

Frequently Asked Questions

Q: What is an element in the context of sets?
A: In set theory, an element is any distinct object that belongs to a particular set. For example, if set A = {1, 2, 3}, then 1, 2, and 3 are the elements of set A.

Q: How do you identify an element in a matrix?
A: Elements in a matrix are identified by their row and column number. For example, the element in the 2nd row and 1st column is denoted as a_{21}.

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