Linear Algebra
S06
Jason Zimba
Here’s a simple equation for you to solve: ax + b = cx. In this equation, “x” is the unknown that we want to solve for. The letters “a,” “b,” and “c” stand for constants. Does this equation have a unique solution for x, regardless of the values of a, b, and c? Could it have infinitely many solutions? Could it have no solution? Starting from this humble equation, we will develop the theory and applications of linear algebra, a fascinating and beautiful branch of mathematics with nearly universal applications, ranging from the social sciences to fundamental theories of physics.
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