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Linear Systems: Linear Equations, Vectors and Matrices

For Students Higher Ed
In this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...
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Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math worksheet, 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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Linear Systems: Gauss-Jordan Elimination

For Students Higher Ed
In this Gauss-Jordan activity, students use the Gauss-Jordan method to find an identify matrix. This two-page activity provides examples, explanations and two practice problems.
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Linear Systems Review for Exam 1

For Students 11th - Higher Ed
In this math learning exercise, learners practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.
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Linear Systems: The Inverse Matrix

For Students Higher Ed
In this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
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Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
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Elimination: Using Matrix Operations

For Students 11th - Higher Ed
In this math worksheet, students practice using a matrix with the method of elimination to find the solutions. They practice using matrix multiplication.
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Linear Systems: Applications of Eigenvalues and Eigenvectors

For Students Higher Ed
In this eigenvalue and eigenvector worksheet, students find the eigenvalue and eigenvector of a given matrix. This two-page worksheet contains four problems.
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Dimensions of Subspaces

For Students 11th - Higher Ed
In this math instructional activity, 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, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Linear Systems: Column Space and Nullspace of a Matrix

For Students Higher Ed
For 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.
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Math 214 Quiz 10 - Linear Systems

For Students Higher Ed
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
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Math 214 - Quiz 12 Properties of Subspaces

For Students Higher Ed
For this subspace worksheet, students match a matrix to its property of subspace. This two-page worksheet contains five problems.
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Linear Systems Quiz 4

For Students 11th - Higher Ed
In this math worksheet, students review the concepts needed for quiz 4. Then they practice finding the answers to the linear systems using elimination.
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Math 214: Quiz 5 - Properties of the Determinant

For Students Higher Ed
In this determinant learning exercise, students find the properties of determinant and explain the reasoning for each answer. This two-page learning exercise contains five problems.
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Linear Systems Quiz 3

For Students 11th - Higher Ed
In this math worksheet, students practice finding the solutions to the linear systems. Then they execute the Gaussian elimination process to complete the quiz.
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Quiz 1/ Operations on Vectors and Matrices

For Students 11th - Higher Ed
In this math activity, students examine the operations of vectors and matrices. Then they use the operations to compare the vectors that are parallel and perpendicular.
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Linear Systems Quiz 6

For Students 11th - Higher Ed
In this math worksheet, learners practice finding the solutions for the linear systems in the form of a quiz. They focus upon finding the eigenvalues and eigenvectors of a matrix.
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Divergence and Convergence

For Students 12th - Higher Ed
In this divergence and convergence worksheet, students complete a comparison test for improper integrals. This four-page worksheet contains approximately ten problems.
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Convergence Tests for Infinite Series

For Students 12th - Higher Ed
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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Riemann Sums and Error Control

For Students 12th - Higher Ed
In this Riemann sums worksheet, students use the Riemann sums to approximate a given area. This two-page worksheet contains two multi-step problems.
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Properties of Definite Integrals

For Students 12th - Higher Ed
In this definite integral instructional activity, students evaluate the properties of definite integrals. Students graph their answers. This two-page instructional activity contains two multi-step problems.
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Applying the Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
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Basic Calculus II: Numerical Integration

For Students Higher Ed
In this numerical integration learning exercise, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.

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