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Worksheet
Curated OER

Solve Four Systems of Equations Using Inverse Matrices

For Students 11th - Higher Ed
In this inverse matrices instructional activity, students solve four systems of equations using inverse matrices.  Examples and explanations are provided.
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Lesson Plan
IMSA

Geometric Transformations with Matrices

For Teachers 10th - 12th Standards
In this math worksheet, learners find the values associated with the geometric transformations. They read the instruction sheet for completing matrices with translations, rotations, reflections, and scaling by adding and multiplying...
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Worksheet
Curated OER

Matrices and Vectors

For Students 12th - Higher Ed
In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Worksheet
Curated OER

Linear Systems: The Nullspace Matrix and Rank

For Students Higher Ed
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.
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Worksheet
Curated OER

The Column Space of a Matrix

For Students 11th - Higher Ed
In this math worksheet, students find the answers to the problems that are related to using a matrix. They group the numerical values with the matrix.
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Worksheet
Curated OER

Linear Systems: Nullspace Matrix

For Students Higher Ed
For this linear systems worksheet, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page worksheet contains explanations, examples and four problems to solve.
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Worksheet
Curated OER

Matrix Operations

For Students 10th - 12th Standards
Here is a worksheet to practice or review basic matrix operations of addition, subtraction, and scalar multiplication. First, define and discuss key vocabulary terms, then have individuals work five simple problems. There are detailed...
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Worksheet
Curated OER

Multiplying Matrices

For Students 10th - 12th Standards
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...
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Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
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Worksheet
Curated OER

Linear Systems: The Column Space

For Students 11th - Higher Ed
In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.
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Lesson Plan
Curated OER

Basic Matrix Algebra

For Teachers 9th - 11th
Students perform basic matrices operations. In this algebra lesson plan, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
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Worksheet
Curated OER

Linear Systems: Orthogonal Matrices

For Students 11th - Higher Ed
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...
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Worksheet
Curated OER

Adding and Subtracting Matrices

For Students 9th - 11th
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.
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Worksheet
Curated OER

It All Adds Up -- Puzzle- Addition Matrix

For Students 4th - 8th
In this addition matrix puzzle #24 learning exercise, students decipher the 8 numbers that need to be added to the puzzle so that each row, column, and diagonal adds up.
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Lesson Plan
EngageNY

Introduction to Networks

For Teachers 11th - 12th Standards
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.
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Worksheet
Curated OER

Linear Systems: Column Space and Nullspace of a Matrix

For Students Higher Ed
In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
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...
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Worksheet
Curated OER

Linear Systems: Rectangular Matrices

For Students Higher Ed
In this rectangular matrices worksheet, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page worksheet contains examples, explanations and approximately...
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Lesson Plan
Curated OER

Matrix operations and Matrix Inverses

For Teachers 11th
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
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Lesson Plan
Curated OER

Matrix Multiplication

For Teachers 11th
In this Algebra II worksheet, 11th graders investigate matrix multiplication. The two page worksheet includes instructions and examples and two problems. Solutions are included.   
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Lesson Plan
Curated OER

Four Matrix, Eigenvalue, and Eigenvector Problems

For Teachers 12th - Higher Ed
In this matrix worksheet, students solve a system of differential equations, find eigenvalues and eigenvector in two problems, and solve a word problem using a system. 
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Worksheet
Curated OER

It All Adds Up -- Puzzle #17

For Students 4th - 8th
In this addition matrix puzzle worksheet, students insert 8 numbers that make the puzzle add up horizontally, vertically, and diagonally.
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Worksheet
Curated OER

Expansion By Minors

For Students 10th - 11th
In this algebra worksheet, students solve matrix problems identifying the Minors and solving for x. There are 14 problems to be solved.
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Worksheet
Curated OER

Linear Systems

For Students Higher Ed
In this linear systems activity, 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...