Question

线性代数，第七题求过程

Answer 1

7
V
=
(a1,
a2,
a3)
=
[1
2
3]
[0
2
3]
[0
0
3]
r(V)
=
3,
则三维向量
a1,
a2,
a3
线性无关
，
是
R3
的一组基
V^(-1)
=
[1
-1
0]
[0
1/2
-1/2]
[0
0
1/3]
记
β
=
x1a1+x2a2+x3a3
则
Vx
=
β
x
=
V^(-1)β
=
(3
-2
1)^T
即所求坐标。