Complex multiplication has a multiplicative identity 1.

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What does "identical" mean?

- exactly alike; same in every detail
- exactly alike; same in every detail
- different; mismatched

The answer is "exactly alike; same in every detail"

Consider the complex number `1+i0`. What will be the result of multiplying that with a complex number `z_1`?

- `1+i0`
- `z_1`
- `z_1`

The answer is '`z_1`'. The product is identical to the number being multiplied.

What is a multiplicative identity?

- an element, when multiplied, will result in product identical to the multiplicand.
- an element, when multiplied, will result in product identical to the multiplicand.
- the phrase "multiplicative identity" does not have any meaning.

The answer is 'an element, when multiplied, will result in product identical to the multiplicand'.

• `1=1+i0` is the multiplicative identity.

** Multiplicative Identity in Complex Numbers: ** For any complex number `z_1 in CC`, there exists `1 = 1+i0, in CC` such that

`z_1 xx 1 = z_1`

*Solved Exercise Problem: *

Consider `z_1=sqrt(2)+sqrt(3)i` What will be the product `z_1 xx (1+i0)`?

- `z_1`
- `z_1`
- `0`
- `1`
- `i`

The answer is '`z_1`'

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