- #1

- 3

- 2

- Homework Statement
- Solve for x and y if

| 1 1+2j 0 |

| 1-j -1 -1 | = 2j

| x 0 yj |

j represents imaginary numbers and x and y represent variables. My entire class is struggling with understanding this.

- Relevant Equations
- none

The attempt at a solution:

I tried the normal method to find the determinant equal to 2j. I ended up with:

2j = -4yj -2xj -2j -x +y

then I tried to see if I had to factorize with j so I didn't turn the j^2 into -1 and ended up with 2 different options:

1) 0= y(-4j-j^2) -x(2j-1) -2j

2) -2j(2y +x +1) +y -x

After that I get stuck, I've spent at least 8 hours staring at this problem and googling how to find a solution but nothing makes sense to me.

I tried the normal method to find the determinant equal to 2j. I ended up with:

2j = -4yj -2xj -2j -x +y

then I tried to see if I had to factorize with j so I didn't turn the j^2 into -1 and ended up with 2 different options:

1) 0= y(-4j-j^2) -x(2j-1) -2j

2) -2j(2y +x +1) +y -x

After that I get stuck, I've spent at least 8 hours staring at this problem and googling how to find a solution but nothing makes sense to me.