推 city7452:四班都是用這份 04/04 13:16
課程名稱︰線性代數(Linear Algebra)
課程性質︰必修
課程教師︰黃升龍
開課學院：電機資訊學院
開課系所︰電機工程學系
考試日期（年月日）︰April 4,2007
考試時限（分鐘）：50分鐘(AM 0910 ~ AM 1000)
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1. Use Gaussian Elimination to solve the following system of Linear equations
(25 %)
Ax = b
1 2 -1 2 1 2
A = -1 -2 1 2 3 b = 6
2 4 -3 2 0 3
-3 -6 2 0 3 9
2. Using the above matrix A,
(a) What is the rank of the matrix A ? (25 %)
(b) Find the linear relationship among the columns of matrix A. (25 %)
(c) Let Ta be a matrix transformation from R5 to R4, then find the smallest
spanning set for the range of the Ta in the sense that the number of
vectors of the spanning set is fewest.(25 %)
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