作者mqazz1 (無法顯示)
看板Math
標題[線代] singular
時間Thu May 26 23:31:14 2011
let L be a linear operator on R^n
suppose that L(x)=0 for some x 不等於0
let A be the matrix representing L with respect to the standard basis
{e1, e2, ..., en}
show that A is singular
請問這題該怎麼證明呢?
有沒有高手可以指點一下 謝謝!!
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1F：推 ss1132 :L(x)=Ax=0,x nontrivial,A singular 05/26 23:36