LINALG — Linear combinations, span and basis vectors
Basic vector concepts— 3Blue1Brown Vector representation using the basis Now, imagine that we have a vector in the xy-coordinate system. We have these two numbers to describe a vector. Two numbers that indicates the position of a vector in the coordinate system.
You should study Linear Algebra.
Linear algebra lies at the heart of mathematics. It allows us to construct and solve systems of linear equations, unifying otherwise disparate topics (read: functional analysis, physics, regression) through a common set of guiding principles and applicable techniques. A typical introductory course introduces matrices and vectors, finding the four fundamental…
Basic Linear Algebra for Data science
Determinant of Matrix Create square matrix (3 ,3) import numpy as np x=np.matrix(“1,2,3;3,4,5;6,9,4”) print(x) [[1 2 3] [3 4 5] [6 9 4]] syntax :numpy.linalg.det(matrix) det=np.linalg.det(x) print(det) 15.999999999999998 Rank of Matrix The maximum number of its linearly independent rows or ( columns) of a matrix. The rank of a matrix can not exceed the number of…
Artificial Intelligence has become prevalent recently. People across different disciplines are trying to apply AI to make their tasks a lot easier. For example, economists are using AI to predict future market prices to make a profit, doctors use AI to classify whether a tumor is malignant or benign, meteorologists…
1. Permutation, Disposition, Combination
In this article we are going to see: Simple permutation Permutation with repetition Simple disposition Disposition with repetition Simple combination Binomial Coefficients Considering: n = elements k = available positions Simple Permutation We had this permutation when there are n possible spaces and n elements. For example, if I had 7 positions…
Vector Norms Explained
Shedding light on a commonly misunderstood topic in linear algebra — Vector norms are extremely important in certain fields of engineering and mathematics. However, I think the education system often presents norms in a formulaic, “here’s how to calculate it” way as opposed to presenting an intuitive understanding of vector norms. …
The Four Fundamental Subspaces
Each matrix has four very important vector spaces attached to it. In this article, we explore the column space, row space, null space, and left null space ― finding basis vectors for these spaces, and determining whether or not a given vector is part of a particular space, is crucial…
C++ 3D Viewer Code with Explanations
the two cent tour — My Specs: Built with Visual Studio 2013 FreeGLUT and GLUI dlls included on the repo and already linked into the Visual Studio project. Source Code: GitHub - sitting-duck/mesh-bind-cpp-opengl I wrote this for a Computer Animation course at University of Texas at Dallas in 2013. This project is pretty academeic…github.com Explanation: Here’s what the actual program itself looks like when it runs: