PUMPA - SMART LEARNING

மதிப்பெண்கள் எடுப்பது கடினமா? எங்கள் AI enabled learning system மூலம் நீங்கள் முதலிடம் பெற பயிற்சியளிக்க முடியும்!

டவுன்லோடு செய்யுங்கள்
Let us consider the data below and try to represent the same in the tabular column.
 
In a unit test, the students scored the following.
 
(i) Dev scored \(75\%\) in English, \(60\%\) in Science, and \(80\%\) in Mathematics.
 
(ii) Athitya scored \(65\%\) in English, \(85\%\) in Science, and \(82\%\) in Mathematics.
 
(iii) Gautham scored \(85\%\) in English, \(68\%\) in Science, and \(70\%\) in Mathematics.
 
Let us now represent the information gathered in a tabular column.
 
Here, the numbers are entered to represent the percentage scored in each subject.
 
Name
English
Science
Mathematics
Dev
\(75\)
\(60\)
\(80\)
Athitya
\(65\)
\(85\)
\(82\)
Gautham
\(85\)
\(68\)
\(70\)
 
Let us now look at the alternate way of representing the same information.
 
\(\begin{bmatrix}
75 & 60 & 80\\ 
65 & 85 & 82\\ 
85 & 68 & 70
\end{bmatrix}\)
 
We have represented the same data in rows and columns, which is the matrix form.
 
The horizontal representations are the rows, and the vertical representations are the columns.
 
Matrix:
A matrix is a rectangular array of elements represented in the form of horizontal rows and vertical columns.
pic1.svg
 
How are matrices formed?- A real-life example
 
Example:
Let us look at a few examples of matrices.
1. \(\begin{bmatrix}
-5 & 3 & 10\\ 
9 & -4 & 2\\ 
\sqrt{4} & 68 & 21
\end{bmatrix}\)
 
2. \(\begin{bmatrix}
\frac{1}{2} & -8 & 3\\ 
0 & -\frac{4}{9} & 7\\ 
\frac{\sqrt{2}}{3} & 14 & 10
\end{bmatrix}\)
 
3. \(\begin{bmatrix}
x^2 & 5\\ 
3x + 1 & 0
\end{bmatrix}\)