MAT188H1 Midterm: MAT188H1_20169_641483478536mat188tut6sol

• School: UTSG
• Department: Mathematics
• Course: MAT188H1
• Professor: All

Document Summary

Faculty of applied science & engineering, university of toronto. , y = of the linear system bay + ax = . The augmented matrix of the system is: x1 x2 x3. 1 (b) let a = (aij) be a 2 3 matrix where aij = i + j, and b = (bjk) be a 3 4 matrix where bjk = 2j + k. Let ab = (cik) and nd a formula for cik in terms of i and k. Recall that the (i, k)th entry of c = ab is the dot product of the ith row of a with the kth column of: the ith row of a is since aij = i + j. And the kth column of b is i + 2 i + 3(cid:3) (cid:2)ai1 ai2 ai3(cid:3) =(cid:2)i + 1 b1k b2k b3k. Note: since the matrices are of such small size, one can write out what a, b, and ab are.