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the matrix size be n x n$.$ Carry out a complete test of your algorithms with n $=2,4,8,16,32,64,128,$

$256,...($up to the largest size of n that your computer can handle$).$ The size of the input will be limited in

the power of $2.$ They are $2,4,8,16,32$ up to $2$k where $2$k is the largest size of the input that your computer

can handle or your program might quit at size of $2$k due to running out of memory.