Performing math on multidimensional arrays very efficiently. For example, the Strassen algorithm uses fast matrix math on large matrices. See multidimensional array. THIS DEFINITION IS FOR ...

I know to find if a set of vectors are linearly indepenent I have to put them in a matrix and get the rref. if the rref == the identity matrix, then the vectors are linearl independent. but why ...

Beyond AI, matrix mathematics is important for modern computing (think image processing and data compression), and even a slight increase in efficiency can lead to computational and energy savings, ...