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Equation of a Line
In this equation of a line activity, 9th graders solve and complete 4 different multiple choice problems. First, they use the median fit method to determine the equation that most likely represents the line of best fit for the data shown...
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Cramer's Rule
In this Cramer's Rule worksheet, students solve and complete 18 different problems related to trigonometry. First, they solve each system of equations using Cramer's Rule. Then, students solve using matrix elimination. Finally, they...
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Mathematics of Image Processing
In this mathematics of image processing worksheet, students solve 10 various types of problems related to image processing on a computer. They type in all the commands listed and figure out what is going on. Then, students determine the...
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Solving Systems of Equations
In this systems of equations activity, students solve 4 different problems related to various systems of equations. First, they write out and solve the system of equations shown using Maple. Then, students write the system in matrix form...
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Multivariable Calculus: Multivaribale Chain Rule
In this multivariable chain rule worksheet, students use the chain rule theorem to complete given problems. This worksheet contains an example, explanations, and thirteen problems to solve.
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Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
EngageNY
Representing Reflections with Transformations
In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
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More on Least Squares
In this least squares worksheet, learners 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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Introduction to Vector Spaces
In this vector spaces worksheet, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page worksheet contains 13 problems.
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MT-A315 Introduction to Linear Algebra: Worksheet 5.2
In this linear algebra worksheet, students find the determinant of a matrix. Additionally, they expand rows and use the product theorem to identify which matrices are invertible. Students complete five multi-step problems.
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MT-A315 Introduction to Linear Algebra
In this math worksheet, students find the solution to the algebra problem that focuses upon the finding of the nodes and the equations have the solutions written on page 2.
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MT-A315 Introduction to Linear Algebra
In this algebra worksheet, students use the math application problems in order to apply the principles of conjugate pairs, vectors, and reading a matrix.
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The Book Problem
In this algebra worksheet, students analyze the pages of a book to figure out many times the digit 7 is used in numbering the pages of a book. There is an answer key.
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MT-A315 Introduction to Linear Algebra: Worksheet 1.5
For this linear algebra worksheet, students examine a matrix, determine the vectors, list the parameters, and identify the null space. Students explain the parameters in the description of the null space There are four problem solving...
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Linear Systems: Other Methods of Computing Determinants
In this computing determinants activity, learners 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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Numerical Analysis: Using the QR Algorithm
In this QR algorithm worksheet, students use the QR algorithm to solve an over-determined system of equations. This two-page worksheet contains 11 problems.
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Linear Systems: Identifying Pivots and Multipliers
In this identifying pivots learning exercise, students use algebra to find equivalent systems of equations. This four-page learning exercise contains examples, explanations and approximately ten problems.
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Numerical Analysis: Solving Linear Equations
For this linear equation worksheet, students compare methods to solve linear equations. This four-page worksheet contains approximately five questions.
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Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
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Numerical Analysis: Solving Systems Of Non-Linear Equations
For this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
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Linear Systems: Applications of Determinants
In this determinant worksheet, students explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
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Linear Systems: Least Squares Approximations
In this least squares approximation instructional activity, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This...
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Numerical Analysis: Systems of Linear Equations
In this linear equation worksheet, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page worksheet contains approximately three problems.