Web1. If v2IRn 1, a vector, then vS= v. 2. If A2IRm Sn, a matrix, and v2IRn 1, a vector, then the matrix product (Av) = Av. 3. trace(AB) = ((AT)S)TBS. 2 The Kronecker Product The Kronecker product is a binary matrix operator that maps two arbitrarily dimensioned matrices into a larger matrix with special block structure. Given the n mmatrix A WebNote that for a diagonalizable operator, the Jordan form itself only consists of 1 1 Jordan blocks and is diagonal; this follows from the fact that for a diagonalizable operator, each generalized eigenvectors is a usual eigenvector. For a general operator, we can always at least represent it by an upper-triangular matrix.

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