Linear algebra explained in four pages

Linear algebra explained in four pagesExcerpt from the NO BULLSHIT GUIDE TO Linear ALGEBRAby Ivan SavovAbstract This document will review the fundamental ideas of Linear will learn about matrices, matrix operations, Linear transformations anddiscuss both the theoretical and computational aspects of Linear algebra . Thetools of Linear algebra open the gateway to the study of more advancedmathematics. A lot ofknowledge buzzawaits you if you choose to follow thepath ofunderstanding, instead of trying to memorize a bunch of INTRODUCTIONL inear algebra is the math of vectors and matrices.

II. DEFINITIONS A. Vector operations We now define the math operations for vectors. The operations we can perform on vectors ~u= (u 1;u 2;u 3) and ~v= (v 1 ... is another matrix C2Rm ‘given by the formula C= AB , c ij= Xn k=1 a ikb kj; 2 4 a 11 a 12 a 21 a 22 a 31 a 32 3 5 b 11 12 b 21 b 22 = 2 4 a 11b 11 + a 12b 21 a 11b 12 + a 12b 22 a 21b ...

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  Linear, Formula, Algebra, Linear algebra

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