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Worksheet
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Adding and Subtracting Matrices

For Students 9th - 11th
In this adding and subtracting matrices worksheet, students add 2 sets of matrices and subtract one. They are introduced to the rules of adding and subtracting matrices.
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Worksheet
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It All Adds Up -- Puzzle- Addition Matrix

For Students 4th - 8th
In this addition matrix puzzle #24 worksheet, students decipher the 8 numbers that need to be added to the puzzle so that each row, column, and diagonal adds up.
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Worksheet
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Linear Systems: Column Space and Nullspace of a Matrix

For Students Higher Ed
In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.
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Worksheet
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Linear Systems: Rectangular Matrices

For Students Higher Ed
In this rectangular matrices learning exercise, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page learning exercise contains examples, explanations and...
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Lesson Plan
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Matrix Multiplication

For Teachers 11th
For this Algebra II worksheet, 11th graders investigate matrix multiplication. The two page worksheet includes instructions and examples and two problems. Solutions are included.   
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Lesson Plan
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Four Matrix, Eigenvalue, and Eigenvector Problems

For Teachers 12th - Higher Ed
In this matrix worksheet, students solve a system of differential equations, find eigenvalues and eigenvector in two problems, and solve a word problem using a system. 
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Worksheet
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It All Adds Up -- Puzzle #17

For Students 4th - 8th
In this addition matrix puzzle worksheet, students insert 8 numbers that make the puzzle add up horizontally, vertically, and diagonally.
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Worksheet
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Expansion By Minors

For Students 10th - 11th
In this algebra worksheet, students solve matrix problems identifying the Minors and solving for x. There are 14 problems to be solved.
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Worksheet
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Linear Systems

For Students Higher Ed
For 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...
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Worksheet
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Linear Systems: Vector Spaces and Subspaces

For Students 12th - Higher Ed
In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
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Worksheet
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Linear Systems: Linear Equations

For Students 11th - Higher Ed
For 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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Worksheet
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Least Squares

For Students 12th - Higher Ed
In this least squares worksheet, 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 the slope and...
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Worksheet
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Linear Systems: Orthogonality of Vector Spaces of a Matrix

For Students 12th - Higher Ed
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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Worksheet
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Math 214: Quiz 9 - Dimensions of Subspaces

For Students Higher Ed
In this subspace worksheet, students determine the dimension of a nullspace and column space of a given matrix. This two-page worksheet contains three problems.
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Worksheet
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It All Adds Up -- Puzzle Matrix #9

For Students 3rd - 8th
In this addition puzzle activity, students find the 7 missing numbers that make all of the rows, columns, and diagonals add up to the given numbers.
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Worksheet
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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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Worksheet
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MT-A314 Introduction to Linear Algebra: Worksheet 4.4

For Students 10th - 11th
In this linear algebra worksheet, learners 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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Interactive
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Food Web Relationships

For Students 4th - 8th
In this food web worksheet, students 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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Worksheet
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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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Lesson Plan
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It All Adds Up -- Puzzle #14

For Teachers 4th - 8th
In this addition puzzle matrix worksheet, students insert 8 numbers in the puzzle to make the rows, columns, and diagonals add up to the proper numbers.
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Lesson Plan
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It All Adds Up -- Puzzle #15

For Teachers 4th - 8th
In this addition matrix puzzle worksheet, students insert 8 numbers into the matrix so the numbers add up diagonally, vertically, and horizontally.
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Lesson Plan
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It All Adds Up -- Puzzle #30

For Teachers 4th - 8th
In this addition matrix puzzle worksheet, students insert 8 numbers that make the puzzle add up horizontally, vertically, and diagonally.
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Worksheet
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Magic Squares

For Students 5th - 6th
In this magic squares worksheet, learners 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 in...
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Worksheet
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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...