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Topic 4.4 - Matrices and Determinants
In this determinant activity, learners find the determinants of each matrix. They use diagonals and the expansion by minors method to help. There are 10 problems on this activity.
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Introduction to Matrices
In this introduction to matrices instructional activity, 11th graders solve and complete 13 different problems that include various matrices. First, they perform the indicated operation for each matrix. Then, students solve for the...
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Data Analysis
In this data analysis learning exercise, 9th graders solve and complete 8 different problems. First, they add each of the matrices shown at the top. Then, students subtract the matrices. They also multiply and simplify the given expression.
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Matrices
In this matrices worksheet, students answer 4 multiple choice questions regarding analyzing matrices and performing operations with matrices.
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Multiplication of Matrices
In this multiplication worksheet, students solve ten math problems involving multiplication of matrices. Students find the product of each matrices.
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Matrices and Vectors
In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Cramer's Rule
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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Linear Systems: Vector Spaces and Subspaces
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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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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Linear Systems: Nullspace
In this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
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Linear Systems: Reduced Row Echelon Matrix and Rank
Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...
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Linear Systems: Linear Equations, Vectors and Matrices
In this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.
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General Solution to Ax=b
In this math worksheet, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
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Operations on Vectors and Matrices
In this math activity, learners practice using the operations on vectors and matrices. They find the parallel vector to the given one.
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Using Gauss Jordon to Solve Linear Systems by Elimination
In this math worksheet, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
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Dimensions of Subspaces
In this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
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Using Linear Algebra to Solve Systems of ODE's
In this math activity, learners examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Quiz 1/ Operations on Vectors and Matrices
In this math activity, students examine the operations of vectors and matrices. Then they use the operations to compare the vectors that are parallel and perpendicular.
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Matrix Addition
In this matrix worksheet, students add matrices containing four to nine numbers. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Matrix Subtraction
In this matrix worksheet, students subtract matrices. Each matrices contains four to nine terms. Explanations and examples are provided. This three-page worksheet contains ten problems.
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Chapter 6 Worksheet: Math 210. Matrices
In this matrices worksheet, students define a matrix. They multiply matrices, and find the inverse of them. This one-page worksheet contains approximately 20 problems.
IMSA
Geometric Transformations with Matrices
In this math worksheet, learners find the values associated with the geometric transformations. They read the instruction sheet for completing matrices with translations, rotations, reflections, and scaling by adding and multiplying...
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Matrices In Encryption And Decryption Of Codes
Learners relate Cryptography to the solving of simultaneous linear equations in matrix notation. They explore various methods of encrypting and decrypting codes. Pupils discuss and solve simultaneous linear equations.
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Subtraction of Matrices
In this subtraction of matrices learning exercise, 11th graders solve 10 different problems that include subtracting matrices from others. They determine whether each pair of matrices can be subtracted based on their entry size. Then,...