Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.

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Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/e/systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/v/solving-systems-by-substitution-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you…

In this video, I work through several practice problems relating to the concept of linear independence. These including using the definition of linear independence, as well as “shortcuts” to determine whether a set is linearly independent without solving a vector equation.

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