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Linear Systems: Rectangular Matrices

For Students Higher Ed
In this rectangular matrices activity, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page activity contains examples, explanations and approximately...
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Linear Systems: Properties of the Four Matrix Subspaces

For Students Higher Ed
In this four matrix subspaces worksheet, students identify statements which are always true for given matrices. Students are given five matrices and a list of ten statements.
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First-Order Differential Equations and Vector-Matrix Systems

For Students 11th - Higher Ed
In this differential equation learning exercise, students answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.
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Inverse Matrices

For Students 9th - 11th
In this algebra worksheet, learners solve matrices using the inverse property. They solve the matrices using multiplications. There are 18 questions with an answer key.
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Logic Problems: Using a Matrix

For Teachers 7th - 9th
In this logic worksheet, young scholars are given 2 matrices to help them solve problems using logic. Students are given clues that they use to complete the matrix in order to find the answer.
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Literary Data Collection Chart

For Students 7th - 12th
Here’s a matrix that could be used with any literary work. For each assigned passage, readers are asked to record information about characters, setting, vocabulary, literary devices, symbols, tone, mood, etc. In addition, they are asked...
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Transformations Using Matrices

For Students 10th
In this transformations instructional activity, 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...
Lesson Plan
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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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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 36-Spring 1996

For Teachers Higher Ed
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
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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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Expansion By Minors

For Students 10th - 11th
For 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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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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Academic Algebra II Test Chapter 4

For Students 9th - 10th
In this algebra worksheet, students solve systems of equations.  They evaluate matrix problems and identify the determinant.  This two-page worksheet contains 13 problems.
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Academic Algebra II Test Chapter 4, Part 2

For Students 9th - 12th
In this test of knowledge activity, students answer 2 story problems, they solve 6 systems of equations. Students multiply 2 maxrix sets. They determine the inverse of two matrices. Students determine the linear regression line for two...
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Linear Systems

For Students Higher Ed
In this linear systems learning exercise, 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...
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Linear Systems: Vector Spaces and Subspaces

For Students 12th - Higher Ed
In this vector space instructional activity, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page instructional activity contains approximately six...
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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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Linear Algebra

For Students 12th - Higher Ed
In this linear algebra worksheet, students solve 3 different sets of problems that include rank, dimension, nullspace and range of linear algebra. They determine the relation between the rank of a matrix and the dimension of its range....
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MA 439-Math of Image Processing

For Students Higher Ed
In this image processing worksheet, students use a matrix to solve ten problems. For the first six problems, students are guided to the answer by carefully sequenced questions. The final four problems require students to make a series of...
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Convolution

For Students 12th - Higher Ed
In this convolution worksheet, students solve 8 different problems related to convolution. First, they determine the formulas for eight samples of f and g. Then, students write out the matrix found. In addition, they define the...
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The Haar Wavelet Filter Bank

For Students 12th - Higher Ed
In this Haar Wavelet activity, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second and third...
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General Description of Site

For Students 6th - 8th
In this earth science worksheet, middle schoolers identify what a site matrix is and that is composed of a sandstone mixture. They excavate each quadrant and write detailed journal entries. Students also complete a site map that...
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Circular Convolution

For Students 12th - Higher Ed
In this circular convolution worksheet, students solve and complete 6 different problems related to determining the circular convolution. First, they plot a point and describe its effect of convolution with high and low frequencies....

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