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Unless your "everyday life" involves work in some area of engineering, you won't use matrices in your everyday life.
Matrices are used in pretty much any situation where several linear equations are involved. They're used all over the place in physics, chemistry, engineering, and economics. I linked a site below with more information.
The matrices must have the same dimensions.
Only square matrices have a determinant
actually MATRICES is the plural of matrix which means the array of numbers in groups and columns in a rectangular table... and determinant is used to calculate the magnitude of a matrix....