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Diagonalizing a Matrix
In this math worksheet, learners find the answers to the problems that focus upon the concept of diagonalizing a matrix. They also find the probability matrix.
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Lengths and Dot Sequences
In this math instructional activity, students examine the process of multiplying vectors to find their products. They practice finding the geometric and algebraic views for the solutions.
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Linear Systems: Linear Equations, Vectors and Matrices
In this vector and matrix learning exercise, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page learning exercise contains three practice problems,...
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Examples of Integral Exchange Using Substitution
In this math worksheet, students find the solutions to the problems using the operation of substitution. Then they pay attention to relating this while further evaluating integrals.
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Rate Equations: Equilibrium and Inflection Values
In this rate equation, students are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.
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Average and Instantaneous Velocity
In this velocity worksheet, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page worksheet...
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Linear Systems: The Reduced Row Echelon Matrix
For this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page worksheet contains explanations, examples and six problems.
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Accumulation Functions and Definite Integrals
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
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Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Linear Systems Review for Exam 1
In this math activity, students 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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Finding Roots and Newton's Method
For this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
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Some Elementary Derivative Formulas and Rules
In this derivative formula worksheet, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page worksheet...
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Linear Systems
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
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Applying Linear Algebra to Differential Equations
In this math activity, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.
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Projections of a Vector Onto a Subspace
In this math worksheet, students practice reading the examples of a vector onto a subspace. They also examine the projection matrix.
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Linear Systems: Fundamental Theorem
In this fundamental theorem worksheet, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page worksheet contains examples, explanations and three problems.
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Linear Systems: Orthogonality of Subspaces
In this subspace activity, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page activity contains explanations, examples, and three problems.
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Geometric Interpretations of Eigenvalues and Eigenvectors
In this math activity, students practice finding the Eigenvalues and Eigenvectors. They find the special factors of the given matrices.
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Linear Systems/ LU Decomposition
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: The Inverse Matrix
In this inverse matrix instructional activity, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page instructional activity contains explanations, examples and...
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The Fundamental Theorem and IVP's
In this math worksheet, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
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Integration By Parts
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Applications of Derivatives: Finding Maxima and Minima
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
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The Nullspace of a Matrix
In this math worksheet, students read the definition for the nullspace of a matrix. The definition is used to find the solutions to new problems.
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