Linear Algebra - What is it?


Linear Algebra is a branch of mathematics that deals with vectors, matrices, and linear transformations.

It's one of the foundations of data science, machine learning, and computer graphics.


In Simple Words:

Linear algebra helps us:

Solve equations with multiple variables (variables - a value, number or anything that changes anytime eg, Mark, Temperature, Price)

Represent and transform data using matrices ( Matrix - numbers arranged in rows and columns)

Understand how systems behave (like how multiple inputs affect an output)


Key Concepts:

Scalars – Scalar means Magnitude(Speed).
So it is just a single number (e.g., 8 or 6 or 10 etc..)

Vectors – Vector means Both Magnitude (Speed) and Direction.
So it is a ordered list of numbers (e.g., [2, 3] or [4, 5] or [10, 50] etc..)

Matrices – A grid of numbers arranged in rows and Columns 
(e.g., a 2x2 matrix or 4x4 matrix)

Matrix Multiplication – Combining 2 or more matrices to transform data.

Linear Transformation - Multiplying Matrix with Vector.

Determinants - It is a single number calculated from a square matrix. If that single Number is 0, then matrix cannot inverted. If the single number is not 0, then matrix can be inverted.

 Inverses – An inverse matrix is another matrix that, when multiplied by the original matrix, gets you back to where you started
Location: Ramanathapuram, Tamil Nadu, India

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