Students solve systems of equations. In this precalculus lesson plan,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.

In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.

In this subspace worksheet, students determine the dimension of a nullspace and column space of a given matrix. This two-page worksheet contains three problems.

In this determinants worksheet, 9th graders solve 10 different problems that include different matrices. They calculate the determinant of each matrix using the data given for each. Then, students define the 2 X 2 matrix and its...

Involve kids in the care of pets at home or in the classroom by assigning tasks using these pet care charts The list of tasks are recorded on a matrix in the left-hand column and the days of the week are indicated in the first row...

In this linear algebra worksheet, students prove that a given matrix is orthogonal. In addition, they list the entries for the second column of a matrix and make comparisons. Students complete three problems.

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

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.

In this magic squares activity, learners solve 3 different magic squares shown on the sheet. First, they identify the numbers already used in each square. Then, students determine which number goes in each blank to equal the same sum in...

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 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 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 least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...

In this vector spaces learning exercise, students identify the vector in a given set.  They explore addition and scalar multiplication in their vectors.  This two-page learning exercise contains 13 problems.

In this chemistry worksheet, students calculate the eigenfunction of the operator. They use the operator matrices. There are 4 questions.  

In this algebra worksheet, 9th graders solve a riddle like puzzle involving matrices and linear equations. They have to find the missing numbers in the square, using the given numbers.

Readers of Shakespeare’s Twelfth Night use a magic squares matrix to match vocabulary words from Act II, Scene 5 with their definitions. An answer key is provided.

In this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.

In this permutations worksheet, students identify a transpose matrix, and create a permutation matrix. This three-page worksheet contains six problems.

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

In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...

In this Eigenvalue and Eigenvector learning exercise, students examine the applications of matrix exponentiation. This four-page learning exercise provides explanations and examples, as well as three problems to complete.

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 linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.