Lead to

Systems of Linear Equations ... or Matrices
a11 u1 + a12 u2 + a13 u3 + . . . + a1n un = f1
a21 u1 + a22 u2 + a23 u3 + . . . + a2n un = f2
.
.
.
an1 u1 + an2 u2 + an3 u3 + . . . + ann un = fn
a11 a12 a13 . . . a1n
a21 a22 a23 . . . a2n
.
.
.
an1 an2 an3 . . . ann

Of particular concern are very large matrices whose elements are mostly zero.


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