The Professor gives the definitions of a vector space, a linearly independent set, and a linearly dependent set. In the definition of linearly independent the condition should read alpha_1=alpha_2 = … = alpha_k =0$. He says this but does not write it on the board.
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This tutorial from Santa Fe Institute’s Complexity Explorer introduces students to essential ideas related to vectors and matrices. These mathematical structures form the foundations for many key topics in complex systems, such as dynamical systems, stochastic processes, and network science. The prerequisite for this tutorial is knowledge of high-school algebra. The content of the tutorial…
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