This community is invite only. If you're enrolled in Mark's Linear Algebra II class but haven't received an invite, just let him know!
Suppose that $A$ and $B$ are $n$ dimensional, upper triangular matrices. How many floating point multiplications are necessary to compute $AB$?
Typically a $$ nxn $$ matrix requires $$ n^2 $$ multiplications with a vector. Thus multiplying 2 $$ nxn $$ matrices would require $$ 2n^2 $$ multiplications and $$ 2n (n-1) $$ operations to sum the products.
Comments
Typically a $$ nxn $$ matrix requires $$ n^2 $$ multiplications with a vector. Thus multiplying 2 $$ nxn $$ matrices would require $$ 2n^2 $$ multiplications and $$ 2n (n-1) $$ operations to sum the products.