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87年 - 87 淡江大學 轉學考 線性代數#56385
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題組內容
6.
,(a) Find the characteristic polynomial of A. (5%)
其他申論題
(b) Find the change-coordinates matrix from B to B' = {x,1 + x,x+ x2,x3}. (5%)
#214172
(c) Find the matrix representation Ar of T relative to B'. (5%)
#214173
【已刪除】
#214174
5. Let A and B be both nx n matrices. Prove that the product AB is invertible if and only if both A and B are invertible. (10%).
#214175
(b) Find the real eigenvalues and the corresponding eigenspaces of A. (10%)
#214177
(c) Determine whether the matrix A given in (a) is diagonalizable; if yes, please diagonalize it. (5%)
#214178
【已刪除】7. . Find a Jorden basis and the corresponding Jorden canonical form for A. (20%)
#214179
（一）請問何謂前序走訪 (Preorder Traversal)？上圖之二元樹以前序走訪的順序為何？【3 分】
#214180
（二）請問何謂中序走訪 (Inorder Traversal)？上圖之二元樹以中序走訪的順序為何？【3 分】
#214181
（三）請問何謂後序走訪 (Postorder Traversal)？上圖之二元樹以後序走訪的順序為何？【4 分】
#214182
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