[線代] linearly independent
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
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