請問有人可以幫解這三題嗎 我想很久還是想不出來... 謝謝
Let T:R4→R3 be a linear transformation defined by
T(x,y,z,t)=(x-2y+z-t,3x-2z+3t,5x-4y+t)
Find the value of w if(1,5,w)屬於Im T,the image of T
Give an example of a martrix A with the propety that Ax=b has a solution for
b=(1,-3,1) and has no solution for b=(0,1,2).
If u,v,and w are nonzero vectors and r is a scalar,prove that
(a) (ru)v = r(uv)
(b) (u+v)w = uw + vw
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