Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms lesson plan, 11th graders solve a linear system using elementary row operations. Students also describe the set...

In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.

In this subspace activity, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page activity contains explanations, examples, and three problems.

In this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.

In this computing determinants activity, learners explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This two-page...

In this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.

There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...

Students read and review common fairy tales and come up with a list of characteristics from them. The Teacher models filling out either a compare & contrast graphic organizer comparing two fairy tales.

In this ecology community status learning exercise, students research their state's ecosystem, make a chart of the biodiversity, analyze the chart and identify issues with wetland species.  This page has several links to helpful web...

In this food web relationships worksheet, learners click on the links to learn about the food web relationships in the wetlands and answer short answer questions about it. Students complete 8 questions total.

Students differentiate the types of cryptosystems and use them to communicate privately. In this algebra activity, students use substitution and transposition to identify the cryptographs. They send and receive cryptograms as they...

Students develop an understanding of pi and the relationship between the diameter, radius and circumference. After a lecture/demo, students use construction paper and a compass to solve problems using diameter, radius and circumference.

Students explore the uses of sequence alignment.  In this DNA lesson students complete several experiments on sequencing and algorithms. 

This lesson contains pertinent information regarding elementary operations for matrices. Step by step procedure makes completing the matrix easy.

Find a quick, concise explanation of the three basic matrix row operations. Examples are given and clearly explained for each of the operations: switching rows, multiplying a row by a number and adding rows/multiples of rows.

In this activity, students learn to create and edit a matrix using the matrix editor. They use various features in the calculator to perform elementary row operations and convert a matrix to its reduced row echelon form. Finally they...

The tutorial examines the matrix of a system and row operations. Students learn about the concepts through class notes, examples, and practice problems. Topics include a system of linear equations and augmented matrices. Review exercises...

Gives the basics on when to use matrices effectively. Example is included to make things clearer.

The topic summary outlines systems of linear equations and matrices. Some topics reviewed are linear equations in two unknowns, augmented matrix, and Gauss Jordan row reduction. The resource consists of definitions, notes, and examples.

This site from Washington State University is useful to students as it will break down and solve the matrix for them.

Determine the matrix that is the result of performing a specific row operation on a given matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Purplemath gives the fundamentals of matrices. Begins with linear equations of three variables and shows the corresponding matrix. Discusses the augmented and coefficient matrix formed from the equation. The size of a matrix and special...

This lesson introduces the basic row operations that can be performed on matrices, explaining why they are valid things to do and providing examples of each. It is 1 of 9 in the series titled "Row Operations."

This lesson introduces the basic row operations that can be performed on matrices, explaining why they are valid things to do and providing examples of each. It is 3 of 9 in the series titled "Row Operations."