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Unless your "everyday life" involves work in some area of engineering, you won't use matrices in your everyday life.
In the context of matrix algebra there are more operations that one can perform on a square matrix. For example you can talk about the inverse of a square matrix (or at least some square matrices) but not for non-square matrices.
Yes, if it has a non-zero component along some other line - usually, but not necessarily orthogonal.
You can only show 58 as a percentage is relation to some other quantity.
it can not show itself