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MATH 1P97 Lecture 23: Note+23

Canada

Calculus With Applications

Mathematics and Statistics

Susanna Spektor

Brock University

Vertical Line Test
Does the Vertical Line Test apply to functions of two variables? Explain your reasoning.

Systems of Linear Equations in Several Variables Find the complete solution of the system, or show that the system has no solution.<img src="data:image/png;base64,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" class="fm-editor-equation" data-mlang="latex" data-equation="%7Bbegin%7Bmatrix%7D%0Ax%2By%2B2z%3D6%0A2x%2B5z%3D12%0Ax%2B2y%2B3z%3D9%0Aend%7Bmatrix%7D.">

Systems of Linear Equations in Several Variables Find the complete solution of the system, or show that the system has no solution.<img src="data:image/png;base64,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" class="fm-editor-equation" data-mlang="latex" data-equation="%7Bbegin%7Bmatrix%7D%0Ax-2y%2B3z%3D1%0Ax-3y-z%3D0%0A2x-6z%3D6%0Aend%7Bmatrix%7D.">

MATH 1P97 Lecture 23: Note+23

MATH 1P97 Full Course Notes

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