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Linear Systems: Linear Equations
In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
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Eigenvalues, Eigenvectors, and Diagonalization
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
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The Haar Wavelet Filter Bank
In this Haar Wavelet worksheet, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second and...
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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.
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Linear Equations and Matrices
Students solve systems of equations. For 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: Orthogonality of Vector Spaces of a Matrix
In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
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Linear Systems Review Problems
For this linear systems worksheet, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...
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MA 371 - Linear Equations 1
In this linear equations worksheet, learners solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Learners express their answers using an augmented matrix in reduced row...
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Linear Systems: Vector Spaces of a Matrix
In this vector space matrix worksheet, students decompose given vectors into two orthogonal pieces--one from the nullspace and another from the row space. this two-page worksheet contains examples and approximately five problems.
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MA 371 Homework 1: Vectors
In this vectors worksheet, students solve 7 short answer problems. Students find vectors that are orthogonal. Students solve systems of equations by converting matrices into reduced row echelon form.
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Determinants
In this determinants worksheet, 9th graders solve 10 different problems that include different matrices. They calculate the determinant of each matrix using the data given for each. Then, students define the 2 X 2 matrix and its...
Free Printable Behavior Charts
Pet Care Charts
Involve kids in the care of pets at home or in the classroom by assigning tasks using these pet care charts The list of tasks are recorded on a matrix in the left-hand column and the days of the week are indicated in the first row...
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Food Web Relationships
In this food web worksheet, learners create a food web matrix and answer short answer questions about the food chain according to the matrix. Students complete 7 short answer questions.
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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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Theory of Codes
Students explore the concept of code theory. In this code theory instructional activity, students discuss noise, error correction, Hamming distance, parity check matrices, and cyclic codes. Students develop these concepts through...
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Chapter 8, 9 Worksheet. Math 210: Probability
In this probability worksheet, students determine the probability of given events, they solve story problems using a transition matrix. This one-page worksheet contains approximately four multi-step problems.
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Cramer's Rule
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...
PBL Pathways
Gas Prices
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
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MT-A315 Introduction to Linear Algebra: Worksheet 5.2
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.
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Magic Square
For 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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Magic Squares
For this magic squares worksheet, students solve 3 different magic squares shown on the sheet. First, they identify the numbers already used in each square. Then, students determine which number goes in each blank to equal the same sum...
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Dimension and Rank
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.
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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.