Lecture 2: Models of Computation - MIT …

3 5= v 1w 1 + + v nw n = v w: Where theory is concerned, the key property of transposes is the following: Prop 18.2: Let Abe an m nmatrix. Then for x 2Rn and y 2Rm: (Ax) y = x(ATy): Here, is the dot product of vectors. Extended Example Let Abe a 5 3 matrix, so A: R3!R5. N(A) is a subspace of C(A) is a subspace of The transpose AT is a matrix ... ................
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