[線代] singular

[mqazz1 (無法顯示)]

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!!

--
※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 61.228.25.32
推 ss1132      :L(x)=Ax=0,x nontrivial,A singular