推 MaaLong :可知 k1*y1+k2*y2+k3*y3=0 => k1=k2=k3=0 05/05 23:50
→ MaaLong :把上示用題目帶入 假設A is singular 05/05 23:51
推 MaaLong :應該可以得到矛盾 05/05 23:53
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?
謝謝
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