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.
mathsComplex NumbersProperties of Complex Number Arithmetic

click on the content to continue..

What does 'Associate' mean?

• to connect with; to join
• to connect with; to join
• to separate

The answer is 'to connect with; to join'

When three complex numbers are added,
•  Person A associates the middle complex number with first complex number and, to the result of that, he adds the third complex number (z_1 + z_2) + z_3
•  Person B associates the middle complex number with third complex number and to that she adds the first complex number z_1 + (z_2+z_3)

will the two persons get different results?

• They will get different results.
• They will get identical results
• They will get identical results

The answer is 'They will get identical results'.

•  Order of addition can be changed - associative.

Associative Property of Complex Addition: For Any complex number z_1,z_2,z_3 in CC,
z_1+(z_2+z_3) = (z_1+z_2)+z_3

Is Associative property applicable to subtraction?

• when subtraction is handled as inverse of addition.
• when subtraction is handled as inverse of addition.
• yes. Order of subtraction can be swapped

The answer is 'when subtraction is handled as inverse of addition'. For (z_1 - z_2) - z_3, it will be considered as (z_1 + (-z_2)) + (-z_3).

Solved Exercise Problem:

Given z_1, z_2 in CC, what will be the result of z_1 + z_2 + z_1?

• 2z_1+z_2
• 2z_1+z_2
• z_1+z_2
• z_2
• z_1+2z_2

The answer is '2z_1+z_2'.

slide-show version coming soon