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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 NumbersAlgebra of Complex Numbers

Equivalence of complex numbers

When two complex numbers are considered to be equal?

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When will two complex numbers z_1=a+ib and z_2=p+iq be equal?

• when modulus are equal |z_1| = |z_2|
• when argument are equal text(arg)z_1 = text(arg)z_2
• when real and imaginary parts are equal a=p and b=q
• when real and imaginary parts are equal a=p and b=q
• when real or imaginary parts are equal a=p or b=q

The answer is 'if real and imaginary parts are equal a=p and b=q'

Two complex numbers are equal if real and imaginary parts are equal.

Complex numbers Equivalence: Two complex numbers z_1=a_1+ib_1 and z_2=a_2+ib_2 are equal only if a_1=a_2 and b_1=b_2

Solved Exercise Problem:

If two complex numbers 3-i4 and 1+x are equal, What is x?

• -4
• 2-i4
• 2-i4
• 3-i4
• -4i

The answer is '2-i4'

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