Linear Systems: Definition of the Nullspace
In this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.
3 Views 2 Downloads
Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
9th - 12th Math CCSS: Designed
Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
Higher Ed Math
Inverse Matrices, Column Space and Null Space | Essence of Linear Algebra, Chapter 6
Determine the geometric representation to the solution of a system of linear equations. The resource shows how scholars can represent a system of linear equations as a linear transformation. The video discusses using an inverse matrix to...
12 mins 11th - Higher Ed Math CCSS: Adaptable
What's a System of Linear Inequalities?
In a system of linear equations, the solution must satisfy each of the equations to be true. Thus, in a system of linear inequalities, the solution must satisfy each of the inequalities to be true. This is a short video that defines what...
1 min 8th - 11th Math
What Are the Ways You Can Solve a System of Linear Equations?
Confronted with a system of equations? This tutorial briefly describes the three ways systems of equations can be solved. Substitution, graphing, and the elimination method are all covered. The only thing this video is missing is example...
2 mins 8th - 11th Math
How Do You Solve a System of Equations Using Substitution if One Equation is a Quadratic?
Two equations. Wait! They don't look like the same kind of equations. How do you solve a system of equations when one equation is linear and the other is a quadratic? Watch this video as the instructor illustrates how to use the...
6 mins 8th - 11th Math