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轉學考-線性代數
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93年 - 93 淡江大學 轉學考 線性代數#56047
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題組內容
2. 30% For the matrix
(c) Prove that the nullspace and the rowspace of any matrix are orthogonal.
其他申論題
(a)Find the eigenvalues and eigenvectors*
#212721
(b) What is the answer of S_1MS, where S is the matrix whose columns are the eigenvectors of M
#212722
【已刪除】(a) Find a basis for the nullspace N(A) and a basis for the rowspace
#212723
【已刪除】(b) Show that nullspace N(X) and the rowspace are orthogonal.
#212724
【已刪除】 (a) Show that
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【已刪除】(b) Prove that A =
#212727
【已刪除】4. 20% For the matrix We can find a nonsingular matrix M such that A is similar to J, where J = M-1AM and J is in Jordan form. What is the matrix J and M ? (Hint: Solve AM = MJ for columns of M. You can find two columns of M in the columns of A.)
#212728
【已刪除】 (a) Find the solution x such that Ax is the projection of b onto . (Hint： Differentiate (b - Ax)T(b - Ax) with respect to the vector x to have an equation.)
#212729
【已刪除】(b) The projection Ax in (a) can be represented as H6 where H is a m x m projection matrix, argue that H2 = H, and then show the eigenvalues of H are 0’s or Vs. (Hint: The projection of Ax onto is itself.)
#212730
1.我們使用筆記型電腦在校園内進行免費無線上網時，是依賴校園内建置了何種設備，讓我 們連上校園網際網路？ ( 11 )。
#212731
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