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💡 If not able to view properly: Try this link: https://www.notion.so/kalyandath18/Week-1-4a7351a92d5c4e66848936c029d2901d
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💡 A vector can be thought of as a list. Vectors could be columns or rows.
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- Row vectors | $eg. ( 64.35 , 31.92, 33.3, 26, 49.87 )$
- Column vectors
Why Vectors?
- Vectors can be used to perform arithmetic operations on lists such as the table columns or rows.
- Adding corresponding entries of the vectors : Addition of vectors
- Multiplying a vector by a scalar is called scalar multiplication of vectors.
Visualization of vectors in $\R$
$Point(a,b): Vector (a,b) : ai + bj$
- Visualization : arrow from the origin to $(a,b)$
- We can add two vectors by joining them head-to-tail or by parallelogram law.
Vectors in $\R^n$
- Vectors in $\R^n$ are lists (of rows or columns) with $n$ real entries.
- Vectors with $n$ entries → Vectors in $\R^n$ → Points in $\R^n$