Linear Systems: The Nullspace Matrix and Rank

In this linear systems worksheet, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...

In this solving systems and determinants worksheet, students solve 4 multi-part short answer problems. Students solving systems of equations using matrices. Students find a basis for row spaces and column spaces. Students find the...

Stop wasting energy searching for physics resources, this comprehensive collection of worksheets has you covered. Starting with introductions to the scientific method, dimensional analysis, and graphing data, these skills practice...

In this math worksheet, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.

Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...

When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...

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...

This MTEL practice video focuses on problems 9-11, which include skill sets such as reading number lines and inequalities. Sal guides viewers through reading the question and working the equations with simple narration and colorful...

How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...

Calculate the nutrients in different types of dog biscuits. Pupils create a technical report outlining the amount of calcium, protein, and carbohydrates in three types of dog biscuits. The project-based learning activity requires...