[線代] 幾題考題請教
1.Please find the dimension and a basis for the each of four fundamental
subspace (row space column space null space and left null space) of matrix
| 1 2 1 3 2 |
| 3 4 9 0 7 |
| 2 3 5 1 8 |
| 2 3 5 1 8 |
| 2 2 8 -3 5 |
主要問題:自己看書沒看到類似習題，大約只知道dimension為basis的數目
找的到basis應該就可以找到dim? left null space的定義也找不到
不知道從何下手
2.Let T:R^4 ->R^3 be a linear transformation defined by
T(x,y,x,t)= (x-2y+z-t ,3x-2z+3t,5x-4y+t )
1.Find bases for kernel and image T
2.Find the value of w if (1,5,w) 屬於 ImT ,the image of T.
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03/14 15:08, , 1F
03/14 15:08, 1F
→
03/14 15:08, , 2F
03/14 15:08, 2F
→
03/14 15:15, , 3F
03/14 15:15, 3F
→
03/14 15:15, , 4F
03/14 15:15, 4F
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