[線代] 特徵值問題

看板Math作者candyivy (大米)時間14年前 (2012/02/09 20:05)推噓4(4推 0噓 3→)

留言7則, 4人參與討論串1/7 (看更多)

1. 一個3*3的矩陣 2 1 1 A=〔 0 2 -1 〕 0 0 -1 -1 要求一個P和J使A=PJP eigenvalue 很明顯是2和-1 但我eigenvector只求出(1,0,0)和(4,-3,9) 不知道我忽略哪裡請大大指教 2. Let P1 be the space of all polynomials of degree≦1,with the inner product 1/2 defined as <f,g>=∫f(x)g(x)dx. Show that 1 and (2√3)x form an orthonormal -1/2 basis, called B, for P1. If h(x)=3+6x, find the coordinate vector of h(x) with respect to the basis B and determine the norm (or length)of h(x) accordingly. 這題我就不太了解意思 1跟2√3x 代進去積分都是1沒錯但後面h(x)就不太懂了請大大指教謝謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.243.172.74

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qna

02/09 20:08, , 1^F

02/09 20:08, 1^F

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candyivy

02/09 20:10, , 2^F

02/09 20:10, 2^F

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qna

02/09 20:35, , 3^F

02/09 20:35, 3^F