nubtrek

Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Complex multiplication has a multiplicative identity 1.



click on the content to continue..

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`'

                            
slide-show version coming soon