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Multivariable Calculus: Linear Systems
In this linear system instructional activity, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page instructional activity contains examples,...
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Linear Systems: Orthogonality of Vector Spaces of a Matrix
In this vector spaces of a matrix instructional activity, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page instructional activity contains...
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Linear Systems: Nullspace
For this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
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General Solution to Ax=b
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
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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Cramer's Rule
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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Convolution
In this circular convolutions worksheet, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then, students find...
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Math 214: Quiz 9 - Dimensions of Subspaces
For this subspace worksheet, students determine the dimension of a nullspace and column space of a given matrix. This two-page worksheet contains three problems.
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Linear Systems: Fundamental Theorem
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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Using Gauss Jordon to Solve Linear Systems by Elimination
In this math worksheet, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
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Dimensions of Subspaces
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
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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Math 214 - Quiz 12 Properties of Subspaces
In this subspace worksheet, students match a matrix to its property of subspace. This two-page worksheet contains five problems.
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Math 212: Review of Linear Systems
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
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The Binomial Theorem
Students simplify 3 series multiplication problems, one fraction , and six matrix problems. They expand 12 binomials, Students find the specified term of four binomials.
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Text Features of Fiction, Poetry, Drama: Story Matrix
How do novels differ from plays? Explore with your class the text features of fiction and drama by reading The Hidden One: Native American Legend and then performing a reader’s theater script based on the story. Class members create a...
For the Teachers
Cause and Effect Matrix
Study cause and effect in both literature and informational text with a lesson plan designed for several different reading levels. After kids review the concept of cause and effect, they read an article or story and note the causes and...
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Coded Messages
Students solve matrices by multiplication. In this algebra lesson, students create coded messages and relate it to solving matrices. They multiply and find the inverse of matrices.
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Solving Systems with Row Operations 1
Students solve systems of equations. In this algebra lesson, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
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MA 371 - Linear Equations 1
In this linear equations worksheet, learners solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Learners express their answers using an augmented matrix in reduced row...
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Cause-Effect Matrix Diagrams
In this cause-effect worksheet, students read about cause and effect matrices and are given a matrix template for filling in "cause occurs" and "cause does not occur," and "effect occurs" and "effect does not occur."
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Using the Question Matrix
Students analyze and develop questions about a text. In this asking questions lesson, students read an article and analyze the information within the text. Students then form and answer questions about the text.
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Multivariable Calculus: The Jacobian Matrix
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
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Linear Systems: Linear Equations, Vectors and Matrices
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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