We live in a digital-world filled with application of matrices. Linear algebra is study of matrices and it's properties. The slides describes some of the major application of linear algebra.

1. MATRIX
Reference:
1) https://en.wikipedia.org/wiki/Internet_traffic:
2) Bryan, K. and Leise, T., 2006. The $25,000,000,000 eigenvector: The linear algebra
behind Google. Siam Review, 48(3), pp.569-581
3) https://www.math.washington.edu/~nichifor/308_2011_Fall/Applications%20of%2
0Linear%20Algebra.pdf
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“The Matrix is everywhere. It is all around us.”
-Morpheus
Genetics
Markov chain is a
mathematical model which
depends on the probabilities,
and is very useful in solving
problems in genetics.
Page Ranking
Google uses page ranking
algorithm which has also be
dubbed as the “$25,000,000,000
($25B) Eigenvector”
Engineering
Computational mechanics extensively utilizes tools
developed in Linear Algebra. It is used in designing from
brakes to bridges.
Data transfer
Linear algebra finds application in
Error correction and encryption.
Quantum Mechanics
The physical state of a particle is
represented by a vector, and
observables are represented by
linear operators on the underlying
vector space.
©Abhijeet Pandey
Data compression
Theorems in linear algebra are
heavily used for data
compression without losing the
essence of information.
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