問題詳情

Notation: In the following questions, underlined letters such as g, b, etc. denote column vectorsof proper length; boldface letters such as A, B, etc. denote matrices of proper size;

meansthe transpose of matrix A.

is the (n x n) identity matrix. ||αl| means the Euclidean norm ofvector @. R is the usual set of all real nun det
(A) is the determinant of square matrix A.row
(A) and col
(A) are the row and column spaces of A over R, respectively. For any linear mapT over vector spaces, we use ker(T), rank(T') and nullity(T) for the kernel, rank and nullity ofT, respectively. Let W be a subspace of

, then by W ┴ we mean the orthogonal complementof W in the Euclidean inner product space

denotethe   unilateral   Laplace and inverse Laplace transforms for t 2 0, respectively.


【題組】

一、 Which of the following sets is basis (are bases) for

?
(A)

.
(B)


(C)


(D)


(E)None of the above are true.

參考答案