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Linear Systems: Linear Equations, Vectors and Matrices

For Students Higher Ed
In 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...
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Linear Systems: Vector Spaces of a Matrix

For Students 11th - Higher Ed
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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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...
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Linear Systems

For Students 9th - 11th
In this linear systems activity, students solve and complete 10 different problems that include writing each as a linear equation. First, they write the systems of linear equations represented by each matrix equation. Then, students...
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Determinants

For Students 9th
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...
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2D Wavelet Transform

For Students 12th - Higher Ed
In this 2D wavelet transform worksheet, students compute 9 different types of problems related to using wavelets. They select a set of orthogonal filters, load in any image they want, and compute by the given command. Then, students...
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Statistics

For Students 9th
In this statistics worksheet, 9th graders solve and complete 10 various types of problems that include using different types of graphs to illustrate data. First, they determine the median score for each stem-and-leaf plot. Then, students...
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Matrix Reactions

For Students 9th - 10th
In this matrix reactions worksheet, students fill in the blank about the process of glycolysis. Students also draw an organelle- mitochondrion and label the parts with the given names.
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Systems of Equations

For Students 11th - 12th
In this algebra instructional activity, learners solve systems of equations using matrices. There are 24 questions to be solved.
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MT-A314 Introduction to Linear Algebra: Worksheet 4.4

For Students 10th - 11th
For this linear algebra worksheet, students prove that a given matrix is orthogonal. In addition, they list the entries for the second column of a matrix and make comparisons. Students complete three problems.
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MT-A315 Introduction to Linear Algebra: Worksheet 5.1

For Students 10th - 11th
In this linear algebra instructional activity, 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.
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Setting up Systems

For Students 12th - Higher Ed
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...
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Introduction to Linear Algebra 2.1

For Students 11th - Higher Ed
In this linear equation learning exercise, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.
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Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
In this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.
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Food Web Relationships

For Students 4th - 8th
In this food web activity, 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: Identifying Pivots and Multipliers

For Students Higher Ed
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
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Chapter 8, 9 Worksheet. Math 210: Probability

For Teachers Higher Ed
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

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...
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Multiplication Matrix

For Students 3rd - 4th
In this finding the products learning exercise, students solve multiplication facts to fill in the blanks in the twelve by twelve grid. Students solve 144 problems. 
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Bone Matrix Coloring

For Students 9th - 12th
In this bone worksheet, students are given 3 diagrams related to bones. They label the parts of each diagram by coloring the parts according to the given key. Diagrams include an osteocyte, spongy and compact bone and a magnified view of...
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Statistics

For Students 9th
In this statistics learning exercise, 9th graders solve and complete 10 various types of multiple choice problems. First, they determine the mean number of miles per day that were completed. Then, students determine the data set that has...
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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...
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Projections of a Vector Onto a Subspace

For Students 11th - Higher Ed
In this math worksheet, students practice reading the examples of a vector onto a subspace. They also examine the projection matrix.
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One Matrix and Two Vector Problems

For Teachers 11th - Higher Ed
In this matrix and vector worksheet, students find elementary matrices in one problems and show whether vectors and linearly independent or dependent in two problems. 

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