In computer based applications, matrices play a vital role in the projection of three dimensional image into a two dimensional screen, creating the realistic seeming motions.
Stochastic matrices and Eigen vector solvers are used in the page rank algorithms which are used in the ranking of web pages in Google search.
The matrix calculus is used in the generalization of analytical notions like exponentials and derivatives to their higher dimensions.
One of the most important usages of matrices in computer side applications are encryption of message codes.
Matrices and their inverse matrices are used for a programmer for coding or encrypting a message.
A message is made as a sequence of numbers in a binary format for communication and it follows code theory for solving.
Hence with the help of matrices, those equations are solved.
With these encryptions only, internet functions are working and even banks could work with transmission of sensitive and private data's.
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Matrices have a wider application in engineering. Many problems can be transformed in to simultaneous equation and their solution can easily be find with the help of matrices.
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Unless your "everyday life" involves work in some area of engineering, you won't use matrices in your everyday life.