Problem with matrix

[atty]

Hi,

I'm learning electronics, and see an arrangement in my book that I don't fully understand can someone explain this to me?

I have 2 unknowns and 2 equations and I want to calculate them using a Matrix elimination:

[imath]\frac{V1}{1+j} + V2 + \frac{V2}{1-j} = 2\angle 0°[/imath]
[math]V1 + 6\angle 0° = V2[/math]
Here is my result can someone show me how to get here?
[math]\begin{matrix} 0,5 - 0,5j & 1,5 + 0,5j & 2\\ 1 & -1 & - 6 \end{matrix}[/math]

 

[Zermelo]

Hi there, could you please elaborate on the notation? What is j, what is that angle doing there, and I suppose that V1 and V2 are the unknowns?

 

[lex]

 

[atty]

Thank you!

 

[Deleted member 4993]

View attachment 28327

View attachment 28328

Lex,

You provided a wonderful "complete" solution, where OP did not show any effort toward solution. I wonder if s/he did learn anything from your detailed solution? Please wait for ~24 hr. before posting complete solution (where OP does not show significant work)

Khan

 

[lex]

Hopefully

 

[Deleted member 4993]

Hi there, could you please elaborate on the notation? What is j, what is that angle doing there, and I suppose that V1 and V2 are the unknowns?

'j' is the indicator of imaginary part - mostly used in electrical/electronic engineering. They use 'i' for current.

The 'angle' is indicating the phase.