Worksheet
Curated OER

Numerical Analysis: Using the QR Algorithm

For Students Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this "Eigenvalues and Eigenvectors" activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page activity contains two multi-step problems.
Worksheet
Curated OER

Linear Systems: General Solutions

For Students 11th - Higher Ed
In this linear system learning exercise, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page learning exercise contains approximately seven problems.
Worksheet
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Linear Systems: Projections

For Students 11th - Higher Ed
For this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
Lesson Plan
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Dimension and Rank

For Teachers 10th - 12th
Young scholars determine the dimension of a subspace.  In this dimension and rank lesson plan, students explore the dimension of a vector space.  They compare and explore the relationship in a matrix. 
Worksheet
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Multivariable Calculus: Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
Worksheet
Curated OER

Linear Systems: Differential Equations

For Students Higher Ed
In this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.
Worksheet
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Linear Systems: Independence, Basis and Dimension

For Students 12th - Higher Ed
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
Worksheet
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Shoelace Algorithm

For Students Higher Ed
In this shoelace algorithm worksheet, students determine the area of a triangle when given the coordinates of the vertices. They determine the area of a quadrilateral. Students find the average of the x and y coordinates.
Worksheet
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Relationship of Sets

For Students 10th - 12th
In this relationship worksheet, students compare sets and determine the relation of the set. They identify sets as symmetric, anti-symmetric, reflexive or transitive. This one-page worksheet contains six problems.
Worksheet
Curated OER

Linear Systems: Vector Spaces and Subspaces

For Students Higher Ed
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
Worksheet
Curated OER

Multivariable Calculus: Curvilinear Coordinates

For Students Higher Ed
In this curvilinear coordinate worksheet, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
Worksheet
Curated OER

Multivariable Calculus: Review of Linear Systems

For Students 11th - Higher Ed
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.
Worksheet
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Linear Systems: Projections

For Students 11th - Higher Ed
In this projection activity, students determine the projections if a given matrix. They take a vector and project it onto a line and subspace. This four-page activity contains examples and approximately seven problems.
Worksheet
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Statistics

For Teachers 9th
In this statistics activity, 9th graders solve and complete 2 different multiple choice problems related to statistics. First, they determine the order of operations that would best results in the illustrated matrix. Then, students solve...
Worksheet
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MT-A315 Introduction to Linear Algebra: Worksheet 1.5

For Students 9th - 11th
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...
Activity
Sierra College

"Deals on Wheels!" Car Loan Project

For Teachers 9th - 12th Standards
Help your class members learn how to use their income wisely with a comprehensive lesson plan on calculating monthly car payments. Using basic math skills and online calculators, your learners will determine the total amount to be...
Worksheet
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MT-A315 Introduction to Linear Algebra: Worksheet 5.1

For Students 10th - 11th
In this linear algebra worksheet, students identify the determinant of a matrix. They predict the determinant of a matrix and describe how they are related. Students answer three multi-step problems.
Worksheet
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MT-A315 Introduction to Linear Algebra: Worksheet 5.2

For Students 9th - 11th
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.
Worksheet
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Cramer's Rule

For Students 9th - 11th
In this algebra worksheet, students solve problems with matrices. They add, subtract and multiply matrices. There are 7 questions.
Lesson Plan
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Count the Differences

For Teachers 9th - 12th Standards
Pupils find the difference between consecutive y-values on the calculator and write an equation that fits the data.  They continue finding the differences in consecutive y-values using lists on their calculator. Learners...
Worksheet
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Cramer's Rule

For Students 11th - 12th
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...
Worksheet
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Mathematics of Image Processing

For Students 10th - 11th
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...
Lesson Plan
Curated OER

Choosing a Summer Job

For Teachers 7th - 9th Standards
What did you do over your summer vacation. Young wage earners must compare summer job options, and determine when each job earn the same amount and what that amount be. This be done by creating, graphing, and solving systems of...