推 juan19283746:Ax=入x 這樣去想吧 12/27 21:29
→ itsforte:樓上有細節嗎 ? 12/28 10:47
在寫 Eigenvalue 及對角化的相關問題的時候
突然出現了這一題
完全反應不過來
想請教板上大大們
題目如下：
[97.交大電信]
3
5. In R ,let g be a line through the origin and E be a plane through the
origin such that g is not in E. Determine (geometrically) the
eigenvalues and eigenspaces of the following linear maps :
(a) reflection in the plane E.
(b) reflection in the origin.
(c) parallel projection in the direction of g onto E.
(d) rotation about g through π/3 followed by rescaling in the direction
of g with factor 6.
(e) Which of these maps admit a basis of eigenvectors ?
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