# Advanced Linear Algebra Full Video Course Linear algebra is central to almost all areas of mathematics. Linear Algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in most sciences and engineering areas, because it allows modeling many natural phenomena, and efficiently computing with such models. For nonlinear systems, which cannot be modeled with linear algebra, linear algebra is often used for dealing with first-order approximations, using the fact that the differential of a multivariate function at a point is the linear map that best approximates the function near that point.

Linear algebra is central to almost all areas of mathematics. For instance,

Linear Algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in most sciences and engineering areas, because it allows modeling many natural phenomena, and efficiently computing with such models. For nonlinear systems, which cannot be modeled with linear algebra, linear algebra is often used for dealing with first-order approximations, using the fact that the differential of a multivariate function at a point is the linear map that best approximates the function near that point.

* Topics of the course *

• Linear Algebra - Least Squares Approximation - 01 - Introduction (0:00)
• Linear Algebra - Least Squares Approximation - 02 - Fundamental Theorem (09:12)
• Linear Algebra - Least Squares Approximation - 03 - Fitting data to a straight curve Part 1 (21:17)
• Linear Algebra - Least Squares Approximation - 04 - Fitting data to a straight curve Part 2 (29:27)
• Linear Algebra - Least Squares Approximation - 05 - Fitting data to a straight curve Part 3 (37:40)
• Linear Algebra - Least Squares Approximation - 06 - Fitting data to a straight curve example (45:01)
• Linear Algebra - Least Squares Approximation - 07 - Fitting data to more general functions (51:10)
• Linear Algebra - Least Squares Approximation - 08 - The inverse of A transpose times A (01:01:38)
• Linear Algebra - Hamming's error correcting codes - 01 - Hamming matrices (1:13:31)
• Linear Algebra - Hamming's error correcting codes - 02 - Properties of Hamming matrices (01:17:35)
• Linear Algebra - Hamming's error correcting codes - 03 - Example (1:26:33)
• Linear Algebra - Hamming's error correcting codes - 04 - Parity bits (1:40:36)
• Topics in Linear Algebra - The Functional Calculus - 01 - Theorem and Example (1:50:47)
• Topics in Linear Algebra - The Functional Calculus - 02 - Square-root of a positive matrix (1:57:32)
• Topics in Linear Algebra - The Functional Calculus - 03 - Polynomial interpolation (2:04:18)
• Topics in Linear Algebra - The Functional Calculus - 04 - The determinant of a Van dermonde matrix (2:13:29)
• Topics in Linear Algebra - The Functional Calculus - 05 - Proof of main theorem (2:28:17)
• Affine subspaces and transformations - 01 - affine combinations (2:39:22)
• Affine subspaces and transformations - 02 - affine subspaces (2:49:08)
• Affine subspaces and transformations - 03 - affine transformations (3:13:11)
• Affine subspaces and transformations - 04 - composition of affine transformations (3:16:37)
• Stochastic maps - 01 - Conditional probabilities (3:25:53)
• Stochastic maps - 02 - Composing conditional probabilities (3:36:50)
• Stochastic maps - 03 - Products of conditional probabilities and a.e. equivalence (3:47:38)
• Stochastic maps - 04 -Bayes' theorem (3:58:37)

## How To Build A Data Science Career In 2021

In Conversation With Dr Suman Sanyal, NIIT University,he shares his insights on how universities can contribute to this highly promising sector and what aspirants can do to build a successful data science career.

## Data Science Course in Bangalore | Data Science Training Bangalore - 360DigiTMG

Avail The Data Science Courses in Bangalore and Kick Start Your Career as a Successful Data Scientist in Bangalore within 4 months. Classroom/Online Data Science Course in Bangalore with Placements or Money Back.

## What Are The Advantages and Disadvantages of Data Science?

Online Data Science Training in Noida at CETPA, best institute in India for Data Science Online Course and Certification. Call now at 9911417779 to avail 50% discount.

## Data Science vs Big Data: Difference Between Data Science & Big Data

In the digital era that we live in, data has become the biggest and most valuable asset for most organisations. Data is rapidly transforming the way we live and communicate, and it is by collecting, sorting and studying this data, that organisations across the world are looking for ways to impact their bottom lines. In this post, we'll learn Data Science vs Big Data: Difference Between Data Science & Big Data.

## 50 Data Science Jobs That Opened Just Last Week

Data Science and Analytics market evolves to adapt to the constantly changing economic and business environments. Our latest survey report suggests that as the overall Data Science and Analytics market evolves to adapt to the constantly changing economic and business environments, data scientists and AI practitioners should be aware of the skills and tools that the broader community is working on. A good grip in these skills will further help data science enthusiasts to get the best jobs that various industries in their data science functions are offering.