Worksheet
Curated OER

Linear Systems: Matrix Operations

For Students Higher Ed
For this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
Worksheet
Curated OER

Linear Systems: General Solutions

For Students 11th - Higher Ed
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
Lesson Plan
Curated OER

Know the System

For Teachers 8th - 11th
Students identify the different systems of equations. In this algebra lesson, students solve systems of equations using graphing, elimination and substitution. They use the Ti to graph their systems.
Worksheet
Curated OER

Multivariable Calculus: Linear Systems

For Students 12th - Higher Ed
In this linear system instructional activity, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page instructional activity contains examples,...
Worksheet
Curated OER

Linear Systems: The Determinant

For Students Higher Ed
In this determinant activity, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page activity contains approximately nine problems, as well as examples and...
Worksheet
Curated OER

Numerical Analysis: Solving Linear Equations

For Students Higher Ed
For this linear equation worksheet, students compare methods to solve linear equations. This four-page worksheet contains approximately five questions.
Lesson Plan
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MA 371 - Matrices: Solving Systems and Determinants

For Teachers 12th - Higher Ed
In this solving systems and determinants worksheet, young scholars solve 4 multi-part short answer problems. Students solving systems of equations using matrices. Young scholars find a basis for row spaces and column spaces. Students...
Worksheet
Curated OER

Numerical Analysis: Solving Systems Of Non-Linear Equations

For Students Higher Ed
In this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
Lesson Plan
EngageNY

Getting a Handle on New Transformations 2

For Teachers 11th - 12th Standards
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
Worksheet
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Dimensions of Subspaces

For Students 11th - Higher Ed
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.
Lesson Plan
Curated OER

Cramer's Rule ID: 8793

For Teachers 9th - 12th Standards
Mathematicians are introduced to Cramer’s Rule and use it to solve three systems that have one solution, no solutions, and an infinite number of solutions.  Students use TI-Nspire to graph the systems to verify their answers and...
Worksheet
Curated OER

Solving Linear Systems Using Matrices

For Students 9th - 12th Standards
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...
Worksheet
Curated OER

Linear Systems: Nullspace

For Students Higher Ed
In this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
Worksheet
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Row-Echelon Matrices

For Students 10th - 12th
In this algebra worksheet, students rewrite linear equations using matrices and solve using row-echelon form. There are 30 problems ranging from one equation to system of equations.
Lesson Plan
Curated OER

Linear Inequalities - Parallelogram Problem

For Teachers 9th - 11th
Students use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the results on...
Worksheet
Curated OER

Linear Systems: Using Matrix Operations

For Students 12th - Higher Ed
In this linear systems worksheet, learners use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
Lesson Plan
2
2
Curated OER

Augmented Matrices

For Teachers 9th - 12th Standards
Pupils write systems of equations in an augmented matrix and enter it into their calculator. They use the reduced row echelon function on the calculator to solve the system of equations.
Lesson Plan
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Solving Systems with Row Operations 1

For Teachers 9th - 12th Standards
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.
Worksheet
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Linear Systems: Nullspace Matrix and Rank

For Students 11th - Higher Ed
In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...
Worksheet
Curated OER

Least Squares

For Students 12th - Higher Ed
In this least squares instructional 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...
Worksheet
Curated OER

Linear Systems

For Students Higher Ed
In this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
Worksheet
Curated OER

Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
Lesson Plan
EngageNY

Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
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,...
Worksheet
1
1
Curated OER

Practice: Word Problems

For Students 5th - 7th Standards
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...