注意 ! 請選擇題數。
- 2.
Similar matrices have the same
- (A)
(a) solution set
- (B)
(b) general structure
- (C)
(c) eigenvalues
- (D)
(d) eigenvectors.
- 題型：單選題
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- 6.
- (A)
(a) rank = 2, nullity = 2,
- (B)
(b) rank = 3, nullity = 1,
- (C)
(c) rank = 2, nullity = 4,
- (D)
(d) rank = 1, nullity = 3.
- 題型：單選題
- 難易度：尚未記錄
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- 7.
Let A be an m × n matrices, P be an invertible m × m matrix, and Q be an n × n matrix.
Which of the following statements are true?- (A)
(a) rank(AQ) = nullity(A),
- (B)
(b) rank(AQ) = rank(A),
- (C)
(c) rank(PA) = rank(P)
- (D)
(d) rank(PA) = rank(A).
- 題型：多選題
- 難易度：尚未記錄
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- 8.
If A is an n × n symmetric matrix, then
- (A)
(a) A is always diagonalizable.
- (B)
(b) A is orthogonally diagonalizable
- (C)
(c) A has nonnegative eigenvalues
- (D)
(d) A always has n linearly independent eigenvectors
- (E)
- 題型：多選題
- 難易度：尚未記錄
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