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CK-12 Foundation
Cramer's Rule
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
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Linear Systems: The Determinant
In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...
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Linear Systems: Other Methods of Computing Determinants
In this computing determinants worksheet, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This two-page...
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Topic 4.5 - Identity and Inverse Matrices
For this inverse matrix worksheet, students find the inverse of 9 matrices. If the inverse does not exist, they explain why. Students then determine whether each of 4 inverse statements is true or false.
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Matrices and Vectors
For this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Multivariable Calculus Bonus Quiz 3, Determinants
in this math activity, students practice finding the determinant for each matrix. Then they use the solutions to develop a hypothesis for the determinants.
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Linear Systems: Applications of Determinants
In this determinant learning exercise, students explore determinants, area and volume. This two-page learning exercise contains explanations and examples. It provides two problems for students to solve.
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Data Analysis
In this data analysis worksheet, learners solve and complete 6 different problems that include using various types of data analysis. First, they create a stem-and-leaf plot of the ratios shown at the top and determine the mean, median,...
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Least Squares
In this least squares worksheet, learners 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, 11th graders solve and complete 25 different problems. First, they use the given matrices to write the dimension of a matrix. Then, students add the matrices and find the scalar product. In addition, they...
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Linear Systems: The Determinant
For this determinant worksheet, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page worksheet contains nine problems.
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Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
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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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Matrices
In this Algebra II worksheet, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page worksheet contains explanation of topic, worked examples, and five practice...
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Linear Systems: Matrix Inverse
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
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Academic Algebra II Test Chapter 4
In this algebra activity, students solve systems of equations. They evaluate matrix problems and identify the determinant. This two-page activity contains 13 problems.
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Calculations at the Crazy Cookie Company
Learners explore matrix multiplication and problem solve using matrix multiplication. They design a table that will display cost and profit for three cookie stores.
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Algebra 2 Test
For this algebra 2 worksheet, students solve 13 systems of equations where they must identify and solve problems using matrices. This would be a great review worksheet.
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Which Quadrilateral Is It?
Students prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil calculations...
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Statistics
In this statistics worksheet, 9th graders solve and complete 10 various types of problems that include using different types of graphs to illustrate data. First, they determine the median score for each stem-and-leaf plot. Then, students...
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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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Linear Equations
Students solve systems of linear equations by using inverse matrices lead by a class discussion. They write the identities of the matrices given, review, and grade as a class. Students also write the matrix as the product of the...
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Determinants
In this determinants worksheet, 9th graders solve 10 different problems that include different matrices. They calculate the determinant of each matrix using the data given for each. Then, students define the 2 X 2 matrix and its...