Nullspace - Study guides, Class notes & Summaries

This document contains summary notes and study notes on topics covered on my course's final exam. I have hand-written clear, organized and colorful notes that are easy to follow on topics like determinants & inverses, parameterizing solution to systems of linear equations, nullspace, column space, and linear independence (and more)!

The following document contains the problem statements and problem solutions for a selection of questions related to linear algebra. The focus of the questions is around finding the Basis and Dimensions for the Subspaces of a matrix. This includes the column space, row space, null space, and left null space. It also includes how to find the particular, special and complete solution to a set of linear equations or matrix equation. The document corresponds with the teachings of the listed textbook...

The following document contains the problem statements and problem solutions for a selection of questions related to linear algebra. The focus of the questions is around finding the Basis and Dimensions for the Subspaces of a matrix. It also includes how to find the particular, special and complete solution to a set of linear equations or matrix equation. The document corresponds with the teachings of the listed textbook, Introduction to Linear Algebra. Please do not copy the problem solutions, ...

Vector Spaces Subspaces Linear Independence Rank of Matrices The Nullspace of Matrix Spanning Sets Basis Inner Product Spaces Eigen Values and Vectors

Brief summary of various Linear Algebra topics

Contents 1 Basic Concepts and Notation 2 1.1 Basic Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 Matrix Multiplication 3 2.1 Vector-Vector Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Matrix-Vector Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Matrix-Matrix Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3 Operations and Properties 7 3.1 The Identity Matrix and Diagonal Matric...