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\nAlgebra 60 - Parametric Equations with Gauss-Jordan Elimination\n

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\nThis chapter introduces the concept of “pivot columns” and shows how they can be used to determine whether a system of linear equations has a single unique solution, no solutions, or infinitely many solutions, simply by looking at the...\nThis chapter introduces the concept of “pivot columns” and shows how they can be used to determine whether a system of linear equations has a single unique solution, no solutions, or infinitely many solutions, simply by looking at the positions of the pivot columns within the reduced row echelon form matrix. If the system has infinitely many solutions, we then see how a set of parametric equations can be easily produced from that matrix. This chapter also examines how the solution set of a system of linear equations forms a subspace of lower dimensionality than the system itself.\n
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Resource Details

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Media Length
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18:38
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nWhy U\n\n
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Date
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2012
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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equations, variables, linear equations, parametric equations, solution set, independent variables, numbers, animation
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Additional Tags

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left side, maths, free variable, pivot column, left, parametric representation, column left, unique set, learning, coordinates xy, dimensional space, dependent variable, parametric description, mathematics, parameters smt, line, negative infinity, vertical line, variable, coordinates, graphically represented, system consists, single parameter, 3 dimensional, algebra, dimensional line, positive infinity, system variable, solution
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Classroom Considerations

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Best For: Explaining a topic
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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Algebra 60 - Parametric Equations with Gauss-Jordan Elimination\" href=\"/subscription/new\">\"Algebra\n\n
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