Linear Algebra

This is a free 17 video course on linear algebra by famed you-tube celebrity and amazing educator ( With quaky sense of humor) “Professor Dave”.If you want an easy way to study and really dominate the subject, try this. ;).

Linear algebra is the branch of mathematics concerning linear equations such as{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,}

{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,}

linear functions such as{\displaystyle (x_{1},\ldots ,x_{n})\mapsto a_{1}x_{1}+\ldots +a_{n}x_{n},}

{\displaystyle (x_{1},\ldots ,x_{n})\mapsto a_{1}x_{1}+\ldots +a_{n}x_{n},}

and their representations through matrices and vector spaces.[1][2][3]

Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as linesplanes and rotations. Also, functional analysis may be basically viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in most sciences and engineering areas, because it allows modeling many natural phenomena, and efficiently computing with such models. For nonlinear systems, which cannot be modeled with linear algebra, linear algebra is often used as a first-order approximation.” Source:

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