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The Calculus You Need

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The Calculus You Need

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang The sum rule, product rule, and chain rule produce new derivatives from known derivatives. The Fundamental Theorem of Calculus says that the integral inverts ...

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Matrix transformations change the position, orientation, or size of vectors in space using multiplication. The matrix (0, 1.5, 1.5, 0) swaps the x and y components of any vector and scales them by 1.5. This means if you input a vector like (1, 2), the output would be (3, 1.5). Geometrically, this matrix reflects points across the line y = x and stretches them. It doesn’t preserve angles or lengths, but it keeps the origin fixed and turns lines into other lines, which is a key property of linear

Matrix transformations change the position, orientation, or size of vectors

This derivative fact blew my mind!

This derivative fact blew my mind!

Mend-Amar Badral

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Stick around! We are covering matrices all week. #algebra2easy #algebra #geometry #algebra2 #act #sat #matrix #dimensions #mathematics #highschool #student #mathtutorial #rows #columns #classof2025

Stick around! We are covering matrices all week. #algebra2easy #algebra #geometry #algebra2 #act #sat #matrix #dimensions #mathematics #highschool #student #mathtutorial #rows #columns #classof2025

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