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Basic Matrix Algebra

For Teachers 9th - 11th
Young scholars perform basic matrices operations. In this algebra lesson, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
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Matrices

For Students 11th
In this Algebra II activity, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page activity contains explanation of topic, worked examples, and five practice...
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Adding and Subtracting Matrices

For Students 9th - 11th
In this adding and subtracting matrices activity, students add 2 sets of matrices and subtract one. They are introduced to the rules of adding and subtracting matrices.
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Matrix Multiplication

For Teachers 11th - 12th
Learners identify, analyze, and multiply matrices. They determine if various indicated operations are possible through classroom discussion and practice. Finally, students determine matrix product dimensions through problem-solving...
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Solve Four Systems of Equations Using Inverse Matrices

For Students 11th - Higher Ed
In this inverse matrices worksheet, students solve four systems of equations using inverse matrices.  Examples and explanations are provided.
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Math 214 Quiz 5 - Eigenvalues

For Students Higher Ed
In this eigenvalue worksheet, students answer true and false questions about eigenvalues. They must support their answer with an explanation. This two-page worksheet contains three questions.
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Chapman University

Fundamental Theorems of Mathematics

For Teachers 9th - Higher Ed
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...
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Systems of Equations

For Students 11th - 12th
In this algebra worksheet, students solve systems of equations using matrices. There are 24 questions to be solved.
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Transformations Using Matrices

For Students 10th
In this transformations worksheet, 10th graders solve and complete 16 different types of problems. First, they graph the image of the figure using the transformation given. Then, students find the coordinates of the vertices of each...
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Matrix operations and Matrix Inverses

For Teachers 11th
Eleventh graders study how to combine like vector's that are matrices. For 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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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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Subtraction of Matrices

For Students 11th
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...
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Linear Systems: LU Decomposition

For Students 12th - Higher Ed
In this LU decomposition worksheet, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page worksheet contains approximately six problems.
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Linear Systems

For Students Higher Ed
In 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...
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Eigenvalues, Eigenvectors, and Diagonalization

For Teachers Higher Ed
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
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Linear Systems: Vector Spaces and Subspaces

For Students 12th - Higher Ed
In this vector space worksheet, learners find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
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Linear Systems: Linear Equations

For Students 11th - Higher Ed
In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
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Data Analysis

For Students 9th
In this data analysis worksheet, 9th graders solve and complete 8 different problems. First, they add each of the matrices shown at the top. Then, students subtract the matrices. They also multiply and simplify the given expression.
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Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math activity, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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General Solution to Ax=b

For Students 11th - Higher Ed
In this math worksheet, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
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Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Dimensions of Subspaces

For Students 11th - Higher Ed
In this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
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Using Linear Algebra to Solve Systems of ODE's

For Students 11th - Higher Ed
In this math worksheet, learners examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Linear Systems: Fundamental Theorem

For Students Higher Ed
In this fundamental theorem activity, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page activity contains examples, explanations and three problems.

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