Do you ?think that the matrices we introdu
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?
To me matrices are usually harder to solve than doing the work for complex numbers. It's a different way of thinking about the numbers than I am used to, and adds more "rules" to remember.
- 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.
For all three questions above I would rather use rectangular form as of right now. Complex numbers are added/multiplied the same as any other algebra problem, as long as you keep in mind if a i2 comes up its no longer representing an imaginary number, but -1, you can do the math the same as if it had an x instead of an i.
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