📝 𝙻𝚒𝚗𝚎𝚊𝚛 𝙰𝚕𝚐𝚎𝚋𝚛𝚊

Linear algebra is a branch of mathematics that is widely used in science and engineering. A good understanding of linear algebra is essential for understanding and working with many machine learning algorithms, especially deep learning algorithms.

Scalars, Vectors, Matrices and Tensors

Scalers

A scaler is just a single number, in contrast to most of the other objects studied in linear algebra, which are usually arrays of tmultiple numbers. It's write in italies and lower-case variable. “Let n ∈ N be the number of units,” while defining a natural number scalar.

Matrices

A matrix is a 2-D array of numbers, so each element is identified by two indices instead of just one.

Vectors

A vector is an array of numbers. The numbers are arranged in order.we write them as a column enclosed in square brackets

Tensors

An array of numbers arranged on a regular grid with a variable number of axes is known as a tensor.an array with more than two axes.

Matrix Indexing

Multiplying Matrices

Condider 2 matriecs M1 and M2. For matriecs multiply M1 must have the same number of columns as M2 has rows. If M1 is of shape a × b and M2 is of shape b × c, then M is of shape a × c.

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