討論串[理工] [線代]
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---. 其實網路都有現成的公式和證明 XD. 不知道怎麼套用在提出來吧 :. 1. Sherman–Morrison formula. 2. Sylvester's determinant theorem. ---. 1.. -1. 令 B = A. T T. 則 I = AB = B - 2uu
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1.. A = I - 2uu^T ----------(1). A * A^-1 = (I - 2uu^T) * A^-1. I = A^-1 - 2uu^T * A^-1. A^-1 = I + 2uu^T * A^-1 ----------(2). (1) * (2). I = I + 2uu
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1.Let u be a unit vector in R^n and A = I - 2uu^T. -1. determine A .. 2.Let a1.a2...ak be the singular values of an m*n. T. matrix A .Find det(In + A
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1. find all 2x2 matrices whose nullspace is the line 3x-5y = 0. 1. 2.<f,g> = ∫f(x)g(x)dx. 0. let S1 be the subspace spanned by vector 1.Let s be the s
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