作者mqazz1 (无法显示)
看板Math
标题[线代] linearly independent
时间Sun May 8 16:10:00 2011
let A be a 3*3 matrix and let x1, x2 and x3 be vector in R^3
show that if the vectors
y1 = Ax1
y2 = Ax2
y3 = Ax3
are linearly independent, then the matrix A must be nonsingular and the vector
x1, x2 and x3 must be linearly independent
请问这要怎麽证明呢?
我想了两天左右 还不太清楚怎麽证..谢谢
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2F：→ syn2041 :A singular => rank A < 3 05/08 20:40
3F：推 sm008150204 :下面那篇我有去回覆你唷 05/08 22:19