求下列矩阵的逆矩阵A=1000120021301214用（AE)化（EA)时化为单位矩阵时需要整除一个数,那么这行数怎么变,

Question

求下列矩阵的逆矩阵
A=1 0 0 0
1 2 0 0
2 1 3 0
1 2 1 4
用（A E)化（E A)时化为单位矩阵时需要整除一个数,那么这行数怎么变,

Answer 1

I A=1 0 0 00 1 0 00 0 1 00 0 0 1设A^-1 =a1 b1 c1 d1 a2 b2 c2 d2a3 b3 c3 d3 a4 b4 c4 d4 得A^-1=1 0 0 0 a2 b2 c2 d2a3 b3 c3 d3 a4 b4 c4 d4=1 0 0 0a2 0.5 0 0 a3 b3 c3 0a4 b4 c4 d4=1 0 0 0-0.5 0.5 0 0-0.5...