Curated OER
Linear Systems: The Nullspace Matrix and Rank
In this nullspace worksheet, students identify the rank and nullspace in a matrix. They compare the nullspace and column space of given matrices. This two-page worksheet contains examples, explanations and five problems.
Curated OER
Determinants: 2x2 and 3x3 Matrices
In this Algebra II worksheet, 11th graders find the determinant of 2x2 or 3x3 matrix and use the determinant to find the inverse of the matrix. The two page worksheet contains explanation of topic, a worked example, and three practice...
Curated OER
Matrix Operations
In this matrix operations worksheet, students solve 3 different sets of problems that include matrix operations. They solve each matrices and explain the relation between the computed matrices in each problem. Then, students prove or...
Curated OER
Diagonalizing a Matrix
In this math worksheet, students find the answers to the problems that focus upon the concept of diagonalizing a matrix. They also find the probability matrix.
Curated OER
Linear Systems: Diagonalizing a Matrix
In this diagonalizing a matrix worksheet, students explore matrix factorization and use diagonal decomposition. This two-page worksheet contains examples, explanations and four practice problems.
Curated OER
Linear Systems: Column Space and Nullspace of a Matrix
In this matrix worksheet, students find the column space and nullspace of a matrix. They give examples of vectors. This two-page worksheet contains four problems.
Curated OER
Multiplying Matrices
Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This worksheet includes directions on when and how to multiply matrices, one example, and a few problems your...
Curated OER
Data Analysis
In this data analysis learning exercise, learners solve and complete 6 different problems that include using various types of data analysis. First, they create a stem-and-leaf plot of the ratios shown at the top and determine the mean,...
Mathematics Vision Project
Module 8: Modeling Data
Statistics come front and center in this unit all about analyzing discrete data. Real-world situations yield data sets that the class then uses to tease out connections and conclusions. Beginning with the basic histogram and...
WindWise Education
Where Do You Put a Wind Farm?
This is not your ordinary farm! Using a case study, small groups study two proposed locations for a wind farm. After researching all the information about the sites, the groups choose a site. Each team member writes up the proposal...
Curated OER
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...
Curated OER
College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
Curated OER
Academic Algebra II Test Chapter 4, Part 2
For this test of knowledge worksheet, students answer 2 story problems, they solve 6 systems of equations. Students multiply 2 maxrix sets. They determine the inverse of two matrices. Students determine the linear regression line for two...
Curated OER
Adding and Subtracting Matrices
In this adding and subtracting matrices worksheet, students add 2 sets of matrices and subtract one. They are introduced to the rules of adding and subtracting matrices.
Curated OER
Linear Systems: Matrix Inverse
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
Curated OER
Matrices
In this Algebra II worksheet, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page worksheet contains explanation of topic, worked examples, and five practice problems. Answers...
Curated OER
Linear Systems: Orthogonal Matrices
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
Curated OER
Linear Systems Review Problems
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...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Curated OER
Basic Matrix Algebra
Students perform basic matrices operations. In this algebra lesson, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
Curated OER
Linear Systems: The Reduced Row Echelon Matrix
In this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page learning exercise contains explanations, examples and six problems.
Curated OER
Statistics
In this statistics worksheet, 9th graders solve and complete 10 various types of multiple choice problems. First, they determine the mean number of miles per day that were completed. Then, students determine the data set that has a...
Curated OER
Subtraction of Matrices
In this subtraction of matrices worksheet, 11th graders solve 10 different problems that include subtracting matrices from others. They determine whether each pair of matrices can be subtracted based on their entry size. Then, students...
EngageNY
Composition of Linear Transformations 1
Learners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices.