[理工] 106中央線代
看板Grad-ProbAsk作者bmpss92196 (bmpss92196)時間5年前 (2019/01/23 13:07)推噓8(8推 0噓 11→)留言19則, 9人參與討論串2/2 (看更多)
17 If A is n*n matrix with real entries,then
(a) A has n eigenvalues exactly.
想請問這選項該不該選
18 If A can be QR factorized,then
(a) A has linearly independent eigenvectors.
(b) The columns of Q are orthonormal basis for ColA.
(c)(Q^T)*Q=I.
(d)A=QR and (Q^T)*Q=I => (Q^T)*A = (Q^T)*Q*R => (Q^T)*A = R =>Q*(Q^T)*A = QR = A =>Q(Q^T) = I.
(e)R is an upper triangular invertible matrix with positive entries on its upper triangel.
想請教這題的答案
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有人說中央若寫QR分解則A就是行獨立,所以在其他學校考出來是錯,在中央考是對?
中央很多題目都沒很清楚...
※ 編輯: bmpss92196 (36.224.44.237), 01/23/2019 17:13:17
※ 編輯: bmpss92196 (36.224.44.237), 01/23/2019 17:13:36
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