PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoLet 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.
\(\begin{bmatrix}
75 & 60 & 80\\
65 & 85 & 82\\
85 & 68 & 70
\end{bmatrix}\)
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.
How are matrices formed?- A real-life example
Example:
Let us look at a few examples of matrices.
1. \(\begin{bmatrix}
-5 & 3 & 10\\
9 & -4 & 2\\
\sqrt{4} & 68 & 21
\end{bmatrix}\)
-5 & 3 & 10\\
9 & -4 & 2\\
\sqrt{4} & 68 & 21
\end{bmatrix}\)
2. \(\begin{bmatrix}
\frac{1}{2} & -8 & 3\\
0 & -\frac{4}{9} & 7\\
\frac{\sqrt{2}}{3} & 14 & 10
\end{bmatrix}\)
\frac{1}{2} & -8 & 3\\
0 & -\frac{4}{9} & 7\\
\frac{\sqrt{2}}{3} & 14 & 10
\end{bmatrix}\)
3. \(\begin{bmatrix}
x^2 & 5\\
3x + 1 & 0
\end{bmatrix}\)
x^2 & 5\\
3x + 1 & 0
\end{bmatrix}\)
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