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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 請問這要怎麼證明呢? 我想了兩天左右 還不太清楚怎麼證..謝謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 61.228.27.39
Sfly :參考 #1DmiMfIG (無誤) 05/08 16:21
syn2041 :A singular => rank A < 3 05/08 20:40
sm008150204 :下面那篇我有去回覆你唷 05/08 22:19