In this course, we'll learn about three main topics: Linear Systems, Vector Spaces, and Linear Transformations. Along the way we'll learn about matrices and how to manipulate them.

Linear algebra’s main focus is the study of a special category of transformations: the linear transformations. Linear transformations include rotations, dilations (stretches), shears, and more.

Abstract We define linear equations, both homogeneous and inhomogeneous, and describe what is certainly the oldest problem in linear algebra: finding the solutions of a system of linear equations.

Linear Algebra Problems in Lemma My friend Pavel Grinfeld at Drexel has sent me a collection of interesting problems --mostly elementary but each one with a small twist.

1.1 What is a system of linear equations? Definition 1.1: A system of m linear equations in n unknown variables is a collection of m equations of the form a11x1 + a12x2 + a13x3 + a21x1 + a22x2 + a23x3 …

The General Form of a basic linear equation is: ax b c . To Solve: the goal is to write the equation in the form variable = constant. The solution to an equation is the set of all values that check in the …

Linear Algebra is strikingly similar to the algebra you learned in high school, except that in the place of ordinary single numbers, it deals with vectors. Many of the same algebraic operations you’re used to …