Curated OER
Linear Systems: Nullspace Matrix
In this linear systems learning exercise, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page learning exercise contains explanations, examples and four problems to solve.
Curated OER
Multiplying Matrices
Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This activity includes directions on when and how to multiply matrices, one example, and a few problems your...
Curated OER
Matrix Multiplication
In this algebra worksheet, learners multiply matrices using the rules for multiplication. If a matrix cannot me multiplied, they write "undefined". There are 16 questions with an answer key.
Curated OER
Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank lesson, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.
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
Matrices
In this Algebra II learning exercise, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page learning exercise contains explanation of topic, worked examples, and five practice...
Curated OER
Linear Systems: Independence, Basis and Dimension
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
Curated OER
Calculations at the Crazy Cookie Company
Learners explore matrix multiplication and problem solve using matrix multiplication. They design a table that will display cost and profit for three cookie stores.
Curated OER
Subtraction of Matrices
In this subtraction of matrices instructional activity, 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....
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...
EngageNY
Introduction to Networks
Watch as matrices break networks down into rows and columns! Individuals learn how a network can be represented as a matrix. They also identify the notation of matrices.
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
EngageNY
Composition of Linear Transformations 2
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of transformations.
Curated OER
Linear Algebra
In this linear algebra worksheet, students solve 3 different sets of problems that include rank, dimension, nullspace and range of linear algebra. They determine the relation between the rank of a matrix and the dimension of its range....
Curated OER
Linear Systems
For this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
Curated OER
Disease and Culture through Literary Time
Young scholars select books to read that include disease as a plot or theme component. They fill out a matrix for the disease in their novel and write a five-paragraph paper about their book. Students use the rest of the week's...
Curated OER
Linear Systems: Orthogonality of Vector Spaces of a Matrix
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.
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...
EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
Curated OER
Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra instructional activity, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page instructional activity contains examples, explanations, and approximately...
Curated OER
Linear Systems: Vector Spaces
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...
Chapman University
Fundamental Theorems of Mathematics
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 true.