Kenan Fellows
Isotopic Pennies
Many people confuse atomic mass and atomic numbers. The sixth of seven lessons in a unit requires scholars to find the weight of different groups of pennies. Then, they must solve how many of each type of penny exists in a closed system...
Curated OER
MA 371 - Linear Equations 1
In this linear equations worksheet, students solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Students express their answers using an augmented matrix in reduced row...
Curated OER
Matrices In Encryption And Decryption Of Codes
Students relate Cryptography to the solving of simultaneous linear equations in matrix notation. They explore various methods of encrypting and decrypting codes. Pupils discuss and solve simultaneous linear equations.
Curated OER
Topic 4.7 - Using Augmented Matrices
In this algebra worksheet, students solve each of the systems of equations using an augmented matrix. There are 8 problems to solve.
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Cramer's Rule
In this Cramer's Rule activity, 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 solve...
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Linear Equations and Matrices
Young scholars solve systems of equations. In this precalculus lesson,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.
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Linear Systems: Using Matrix Operations
In this matrix operations learning exercise, students convert a system of linear equations into a matrix. This four-page learning exercise contains explanations, examples and four problems.
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
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Linear Systems: Matrix Inverse
In this linear systems activity students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page activity contains approximately four problems, with examples and explanations.
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Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
Curated OER
Numerical Analysis: Systems of Linear Equations
In this linear equation learning exercise, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page learning exercise contains approximately three problems.
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Curated OER
Chapter 5, 6, 7 Problems. Simultaneous Equations
In this simultaneous equations worksheet, students find the solution set for systems of simultaneous equations. They solve equations using a matrix and find the region specified in an inequality. This one-page worksheet contains...
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Academic Algebra II Test Chapter 4, Part 2
In this test of knowledge worksheet, 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...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Curated OER
Matrices and Vectors
In 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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Dimensions of Subspaces
In this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
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Linear Systems: Linear Equations, Vectors and Matrices
For this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...
Curated OER
Academic Algebra II Test Chapter 4
In this algebra worksheet, students solve systems of equations. They evaluate matrix problems and identify the determinant. This two-page worksheet contains 13 problems.
Curated OER
Setting up Systems
In this systems of equations worksheet, students solve 2 different problems that include setting up various systems. They compute a given system using matrix operations. Then, students verify that the solution is correct by drawing a set...
Curated OER
Least Squares
In this least squares worksheet, 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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Linear Systems: Matrix Operations
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
Curated OER
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...
Curated OER
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...