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Least Squares
In this least squares activity, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
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Matrices
In this matrices worksheet, 9th graders solve and complete 11 different problems that include interpreting various matrices shown. First, they determine the operations that would result in the matrix illustrated. Then, students find the...
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Interpolating Function
In this interpolating function worksheet, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
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Eigenvalues, Eigenvectors, and Diagonalization
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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MA 439-Math of Image Processing
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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Linear Algebra
In this linear algebra instructional activity, learners 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...
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Convolution
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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More on Least Squares
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
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Physics: Eigenvalues
Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...
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Can Chromatography Separate A Pigment?
High schoolers separate a mixture of pigments with ion exchange chromatography and predict whether the ion-exchange matrix is positively or negatively charged based on the type of pigment bonded to the matrix.
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Egin{displaymath}left(#8;egin{array}{rrr}
This lesson explains how the determinant is used for Cramer's Rule.
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Egin{displaymath}leftvert#8;egin{array}{rrr}
This lesson explains how the determinant is used for Cramer's Rule.
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Egin{displaymath}x = Frac{1}{9} Leftvert#8;egin{array}{rrr}
This lesson explains how the determinant is used for Cramer's Rule.