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Worksheet 12
In this math activity, learners explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.
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Monster Functions in Space Science I
In this solar magnetic field worksheet, learners are given 2 equations and use them to find the magnetic field strength and the Bp and Bz for given conditions. they express their answer using scientific notation.
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Linear Systems: Projections
In this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
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Linear Systems: Fundamental Theorem
In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
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Applications of the Pythagorean Theorem - Magnetism
Middle and high schoolers use the Pythagorean Theorem to complete a table showing with the magnetic field strengths in given cities. They find the average value of the Earth's magnetic field and plot one of the three-dimensional values...
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Linear Systems: Linear Equations
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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More on Least Squares
In this least squares instructional activity, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2...
Mathed Up!
Mixed Transformations
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
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Linear Systems: Orthogonal Matrices
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
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Linear Systems
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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Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Linear Systems: Nullspace Matrix and Rank
In this nullspace matrix learning exercise, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page learning exercise...
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Worksheet 27 - Spring 1996
In this math activity, students examine the position of an object and then use the formulas to determine its path over time. Then they apply the information in order to determine the traveling path of an asteroid in space.
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Linear Systems: Orthogonality of Subspaces
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
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MT-A315 Introduction to Linear Algebra: Worksheet 1.5
In this linear algebra worksheet, students examine a matrix, determine the vectors, list the parameters, and identify the null space. Students explain the parameters in the description of the null space There are four problem solving...
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MT-A315 Introduction to Linear Algebra
In this algebra worksheet, students figure out the equation of the general vector, they find the orthogonal basis and apply the formula to solve the problems.
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Linear Systems: Definition of the Nullspace
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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Linear Systems: General Solutions
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
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MT-A315 Introduction to Linear Algebra
In this algebra worksheet, students practice using number sets and principles of algebra to solve each complex problem using number sense.
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Worksheet 14 Spring 1996
In this math learning exercise, students answer the questions in the context of either being true or false. The topics covered include derivatives and differential equations.
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Worksheet 36
In this math worksheet, students apply the rules of Calculus to determine if each statement is true or false. If it is false they rewrite the mathematical proof to make it true.
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Complex Analysis: Linear Transformations
For this linear transformation worksheet, students find a series of linear transformations and sketch them. This four-page worksheet contains approximately six problems.
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Complex Analysis: Linear Transformations, Inversion Mappings
In this transformation learning exercise, students identify a series of transformations and sketch them. They use inversion mapping to establish a one-to-one correspondence between nonzero points. This four-page learning exercise...
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Linear Systems: Reduced Row Echelon Matrix
In this echelon matrix learning exercise, students find the nullspace of matrices by finding the reduced row echelon. This two-page learning exercise contains explanations, examples and six problems to complete.