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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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Solving Systems with Row Operations 1
Students solve systems of equations. In this algebra lesson, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
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2D Wavelet Transform
In this 2D wavelet transform worksheet, students compute 9 different types of problems related to using wavelets. They select a set of orthogonal filters, load in any image they want, and compute by the given command. Then, students...
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Numerical Analysis: Using the QR Algorithm
In this QR algorithm learning exercise, students use the QR algorithm to solve an over-determined system of equations. This two-page learning exercise contains 11 problems.
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Introduction to Vector Spaces
In this vector spaces learning exercise, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page learning exercise contains 13 problems.
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Multivariable Calculus: Review of Linear Systems
In this linear system worksheet, students determine the point of intersection between two lines, they complete linear combination problems. This two-page worksheet contains four multi-step problems.
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Matricies: Meadows or Malls?
Students explore the use of matrices and graphing calculators to solve a complex linear programming problem. They test their solutions to determine the best division of land use for the city.
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Cramer's Rule
In this algebra worksheet, students solve problems with matrices. They add, subtract and multiply matrices. There are 7 questions.
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Promote Precalculus
Use projects, real-world activities, and games to bring precalculus to life for students.
NOAA
What's the Difference?
Due to the isolation of seamounts, their biodiversity offers a great deal of information on the development of biological and physical processes. Pupils use simple cluster analysis to rate the similarity and differences in biological...
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Linear Systems and Echelon Forms
Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms instructional activity, 11th graders solve a linear system using elementary row operations. Students also...
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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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Solution Sets and Linear Independence of Vectors
Eleventh graders study homogeneous linear systems. In this linear system of equations lesson, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear independence and...
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Chemical Equilibria
In this equilibria worksheet, students are given detailed information about LeChatelier's principle and how to solve equilibrium problems. They then calculate concentrations of compounds in solutions.
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Linear Systems: Applications of Determinants
In this determinant worksheet, learners explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.