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New Testament Puzzle

For Students 7th - 11th
In this New Testament puzzle worksheet, students read clues and determine the book of the Bible for each clue listed.  They write the letters for the book in a matrix.  This two-page worksheet contains 20 problems.  A link...
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Heat Index Formula

For Students 9th - 12th
In this heat index formula worksheet, students find the heat index for 3 scenarios.  Students use matrix multiplication to determine the heat index given temperature and relative humidity.
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Least Squares

For Students 12th - Higher Ed
In this least squares learning exercise, 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...
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Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
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Linear Systems Review Problems

For Students Higher Ed
In 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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Multivariable Calculus: Linear Systems

For Students 11th - Higher Ed
In this linear systems worksheet, students perform matrix multiplication. This two-page worksheet contains examples, explanations, definitions, and four problems.
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Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math worksheet, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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Multivariable Calculus: Linear Systems

For Students 12th - Higher Ed
In this linear system worksheet, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
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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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Linear Systems: Nullspace

For Students Higher Ed
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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General Solution to Ax=b

For Students 11th - Higher Ed
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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Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Cramer's Rule

For Students 11th - Higher Ed
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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Convolution

For Students 12th - Higher Ed
In this circular convolutions instructional activity, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then,...
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Math 214: Quiz 9 - Dimensions of Subspaces

For Students Higher Ed
In this subspace instructional activity, students determine the dimension of a nullspace and column space of a given matrix. This two-page instructional activity contains three problems.
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Linear Systems: Fundamental Theorem

For Students Higher Ed
For this fundamental theorem worksheet, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page worksheet contains examples, explanations and three problems.
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Using Gauss Jordon to Solve Linear Systems by Elimination

For Students 11th - Higher Ed
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

For Students 11th - Higher Ed
In this math learning exercise, 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

For Students 11th - Higher Ed
In this math instructional activity, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Math 214 - Quiz 12 Properties of Subspaces

For Students Higher Ed
In this subspace worksheet, students match a matrix to its property of subspace. This two-page worksheet contains five problems.
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Math 212: Review of Linear Systems

For Students Higher Ed
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
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The Binomial Theorem

For Students 10th - 12th
Students simplify 3 series multiplication problems, one fraction , and six matrix problems. They expand 12 binomials,  Students find the specified term of four binomials.
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MA 371 - Linear Equations 1

For Teachers 12th - Higher Ed
In this linear equations worksheet, students solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Students express their answers using an augmented matrix in reduced row...
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Multivariable Calculus: The Jacobian Matrix

For Students Higher Ed
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.

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