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Linear Systems: Fundamental Theorem
In this fundamental theorem activity, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page activity...
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Linear Systems: Introduction to Vector Space
In this vector space instructional activity, students find the column spaces of given matrices. This two-page instructional activity contains examples, theorems, explanations, and approximately three problems.
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More on Least Squares
In this least squares instructional activity, students 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...
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Introduction to Vector Spaces
In this vector spaces instructional activity, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page instructional activity contains 13 problems.
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Omega and Eigenfunction
In this chemistry worksheet, students calculate the eigenfunction of the operator. They use the operator matrices. There are 4 questions.
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Magic Square
In this algebra worksheet, 9th graders solve a riddle like puzzle involving matrices and linear equations. They have to find the missing numbers in the square, using the given numbers.
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Magic Squares for Shakespeare's Twelfth Night, Act II, scene 5
Readers of Shakespeare’s Twelfth Night use a magic squares matrix to match vocabulary words from Act II, Scene 5 with their definitions. An answer key is provided.
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Linear Systems: Projections
In 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.
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Linear Systems: Permutations and Transposes
In this permutations worksheet, students identify a transpose matrix, and create a permutation matrix. This three-page worksheet contains six problems.
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Linear Systems: Vector Spaces
In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...
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Cramer's Rule
In this algebra activity, students solve problems with matrices. They add, subtract and multiply matrices. There are 7 questions.
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Linear Systems: Applications of Eiginvalues
In this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.
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Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Linear Systems: General Solutions
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.
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Linear Systems: Review of Vectors
In this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
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Linear Systems: Independence, Basis and Dimension
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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It All Adds Up -- Puzzle #18
In this addition matrix puzzle worksheet, students insert 8 numbers into the matrix so that the numbers add up vertically, horizontally, and diagonally.
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It All Adds Up -- Puzzle #16
In this addition matrix puzzle, students insert the proper numbers to make the rows, columns, and diagonals add up to the proper numbers.
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MT-A315 Introduction to Linear Algebra: Worksheet 1.5
In 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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Ecology Community Status
In this ecology community status worksheet, students research their state's ecosystem, make a chart of the biodiversity, analyze the chart and identify issues with wetland species. This page has several links to helpful web resources.
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Wetlands - Food Web Relationships
In this food web relationships instructional activity, students click on the links to learn about the food web relationships in the wetlands and answer short answer questions about it. Students complete 8 questions total.