Inverting, multiplication, equations with complex matrices?

Questions
,
1

Hello.
I’m a student of Electrical Engineering. I would like to use Wolfram as a complex matrices equations calculator.

Wolfram make great job with that type of equations:

(inv {{8-8i, -2-2i, 4}, {8-41i, -2-12i, 54}, {5-8i, -51-2i,
12}})*({{-12}, {11}, { 3}})=({{x}, {y}, { z}})

wolphram1.gif

Problem appears when I’m trying to place complex numbers to second matrice:

(inv {{8-8i, -2-2i, 4}, {8-41i, -2-12i, 54}, {5-8i, -51-2i,
12}})*({{-12+13i}, {11+2i}, { 3+4i}})=({{x}, {y}, { z}})

wolfram2.gif

It looks like, wolfram doesn’t treat this

({{-12+13i}, {11+2i}, { 3+4i}})

as a matrix. THE QUESTION IS: Am I doing something wrong, or Wolfram doesn’t support that kind of calculation?
Thank you in advance,
Gregory

2

A = {{8 - 8 I, -2 - 2 I, 4}, {8 - 41 I, -2 - 12 I, 54}, {5 - 8 I, -51 - 2 I, 12}};
b = {{-12}, {11}, {3}};

Inverse[A].b
3

Thanks, but it didn’t help me.

As I wrote, the problem appears when I place complex numbers to the matrix, that you named as B.

I want to multiply two matrices that, both contain complex numbers.

4

A = {{8 - 8 I, -2 - 2 I, 4}, {8 - 41 I, -2 - 12 I,
54}, {5 - 8 I, -51 - 2 I, 12}};
b = {{-12 + 13 I}, {11 + 2 I}, {3 + 4 I}};

Inverse[A].b