Viewing posts tagged matrix

Let S:U->V and T:V->W be linear transformations, and let A = [T][α,β] and B = [S][β,γ] with respective bases of U, V, and W given as α = {u_1,..,u_n}, β = {v_1,..,v_m}, and γ = {w_1,..,w_p}; [1 < n,m,p < ∞] ∈ **Z**+. The product of these two matrices AB = [TS][α,γ].

Let W_2 be the set of all 2 x 2 real symmetric matrices such that for all A in M_(2 x 2)(**R**), A_ij = A_ji; for all 1 ≤ i,j ≤ 2.

Theorem: *A subspace*

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Let W_n be the subset of all M_(n x n)(

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