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

In this Gauss-Jordan worksheet, students use the Gauss-Jordan method to find an identify matrix. This two-page worksheet provides examples, explanations and two practice problems.

In this eigenvalue and eigenvector worksheet, students find the eigenvalue and eigenvector of a given matrix. This two-page worksheet contains four problems.

In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...

In this permutation worksheet, students multiply matrices, explore symmetric matrices, permutation matrices, and properties of the transpose. This three-page worksheet contains explanations, examples and four problems.

In this interpretation of eigenvalues and eigenvectors activity, students probe the given results of exponentiation of a matrix. They tell the implications of this result. Students prove that the eigenvectors of a symmetric matrix are...

In this determinant worksheet, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page worksheet contains nine problems.

In this simultaneous equations worksheet, students find the solution set for systems of simultaneous equations. They solve equations using a matrix and find the region specified in an inequality. This one-page worksheet contains...

In this curvilinear coordinate activity, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...

In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...

In this projection instructional activity, students determine the projections if a given matrix. They take a vector and project it onto a line and subspace. This four-page instructional activity contains examples and approximately...

In this Eigenvalue worksheet, students examine the applications of matrix exponentiation. This four-page worksheet contains examples, explanations and approximately three problems to complete.

In this vector space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples, theorems, explanations, and approximately three problems.

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

Help your class members learn how to use their income wisely with a comprehensive lesson plan on calculating monthly car payments. Using basic math skills and online calculators, your learners will determine the total amount to be...

Provided by the National Gallery of Art in Washington, this resource for teachers examines Islamic art, including calligraphy, arabesques, and geometric designs.  A recounting of the spread of the faith and the tumultuous political...

In this algebra worksheet, students solve problems with matrices. They add, subtract and multiply matrices. There are 7 questions.

Pupils use fractals to analyze nature. In this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.

In this food web worksheet, students create a food web matrix and answer short answer questions about the food chain according to the matrix. Students complete 7 short answer questions.

Students explore the concept of code theory. In this code theory lesson, students discuss noise, error correction, Hamming distance, parity check matrices, and cyclic codes. Students develop these concepts through practice and discussion.

Students explore the history of cryptography. They assess function notation and transformation, matrix operations, and the fundamentals of modular arithmetic. Using graphing calculators, students develop their own encryption schemes.

In this mathematics of image processing learning exercise, learners solve 10 various types of problems related to image processing on a computer. They type in all the commands listed and figure out what is going on. Then, students...

In this systems of equations worksheet, students solve 4 different problems related to various systems of equations. First, they write out and solve the system of equations shown using Maple. Then, students write the system in matrix...

In this vector function worksheet, 12th graders identify a helix and a smooth curve. They find the equation of the tangent line to a helical curve. This two-page worksheet contains examples, explanations and approximately four problems.