线性代数基础，求解如图逆矩阵问题
创远信科
2024-07-24 广告
同轴线介电常数是指同轴电缆中介质对电场的响应能力，通常用ε_r表示，是介质相对于真空或空气的电容率。这一参数直接影响信号在电缆中的传播速度和效率。在选择同轴电缆时，需要考虑其介电常数，因为它与电缆的插入损耗、带宽和传输质量等性能密切相关。创...
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A =
[B O]
[O C]
其中 B =
[1 2]
[2 -1]
C =
[1 0]
[3 2]
B^(-1) = (-1/5)*
[-1 -2]
[-2 1]
=
[1/5 2/5]
[2/5 -1/5]
B^2 = 5E, B^4 = 25E
C^(-1) = (1/2)*
[ 2 0]
[-3 1]
=
[ 1 0]
[-3/2 1/2]
C^2 =
[1 0]
[9 4]
C^4 =
[1 0]
[45 16]
A^(-1) =
[B^(-1) O]
[O C^(-1)]
=
[1/5 2/5 0 0]
[2/5 -1/5 0 0]
[ 0 0 1 0]
[ 0 0 -3/2 1/2]
|A^T| = |A| = |B||C| = (-5)2 = -10
A^4 =
[B^4 O]
[O C^4]
[B O]
[O C]
其中 B =
[1 2]
[2 -1]
C =
[1 0]
[3 2]
B^(-1) = (-1/5)*
[-1 -2]
[-2 1]
=
[1/5 2/5]
[2/5 -1/5]
B^2 = 5E, B^4 = 25E
C^(-1) = (1/2)*
[ 2 0]
[-3 1]
=
[ 1 0]
[-3/2 1/2]
C^2 =
[1 0]
[9 4]
C^4 =
[1 0]
[45 16]
A^(-1) =
[B^(-1) O]
[O C^(-1)]
=
[1/5 2/5 0 0]
[2/5 -1/5 0 0]
[ 0 0 1 0]
[ 0 0 -3/2 1/2]
|A^T| = |A| = |B||C| = (-5)2 = -10
A^4 =
[B^4 O]
[O C^4]
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