Share your chosen numbers, and express them in rectangular, polar, and matrix form.

Do you think that the matrices we introduced in this discussion are good stand$-$ins for complex numbers? Explain your reasoning.$$ Is there any operation$/$task where they might fail to $$impersonate$$ complex numbers?

If all you needed to do with complex numbers was add them, which format would you choose to use? Briefly explain.

If all you needed to do with complex numbers was multiply them, which format would you choose to use? Briefly explain.

If you needed to add, multiply, and find magnitudes for complex numbers which format would you choose to use? Briefly explain.