M-221 Midterm: Montana State MATH 221 Mat Mult
Document Summary
T a m r tr b r n tr c r n tr r . , b = b11 b21 br1 b12 b22 br2 b1n b2n brn. T ijth tr s t tr s a, b, c aij, bij cij r s t . A = (aij) = (aij)mr = (aij)m r = [aij]mr = [aij]m r = [aij] B = (bij) = (bij)rn = (bij)r n = [bij]rn = [bij]r n = [bij] C = (cij) = (cij)rn = (cij)r n = [cij]rn = [cij]r n = [cij] Tr tr t t aij = (a)ij = [a]ij bij = (b)ij = [b]ij cij = (c)ij = [c]ij. S s q t t dij = [a]i1[b]1j + [a]i2[b]2j + [a]ir[b]rj = r. T a m r tr b r n tr c r n tr . Pr t t a(b c) = ab ac . [a(b c)]ij = ai1(b1j c1j) + ai2(b2j c2j) + air(brj crj)
