Solve the quadratic equation x + 1x 1 + x 2x + 2 = 3,(x 1, 2)


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3 Answers Sorted by: 12 The conclusion merely counts dimensions of vector spaces. However, it is not generally true. The most basic properties of matrix multiplication show that the linear transformation represented by the matrix H = X(X′X)−X′ H = X ( X ′ X) − X ′ satisfies


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Algebra Simplify (x-i) (x+i) (x − i) (x + i) ( x - i) ( x + i) Expand (x−i)(x+i) ( x - i) ( x + i) using the FOIL Method. Tap for more steps. x⋅x+xi− ix−ii x ⋅ x + x i - i x - i i Simplify terms. Tap for more steps. x2 + 1 x 2 + 1


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Solve the quadratic equation x + 1x 1 + x 2x + 2 = 3,(x 1, 2)

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2 Answers Sorted by: 9 For any r.v. X X I(X, X) = H(X). I ( X, X) = H ( X). To see this, put Y = X Y = X in I(X, Y) = H(X) − H(X|Y) I ( X, Y) = H ( X) − H ( X | Y) and use H(X|X) = 0. (∗) H ( X | X) = 0. ( ∗)