Let R be the set of all matrices of the form [ a − b b a ] , where a and b are real numbers. Assume that R is a commutative ring with unity with respect to matrix addition and multiplication. Answer the following questions and give a reason for any negative answers. Is 12 an integral domain? Is R a field?
Let
R
be the set of all matrices of the form
[
a
−
b
b
a
]
, where
a
and
b
are real numbers. Assume that
R
is a commutative ring with unity with respect to matrix addition and multiplication. Answer the following questions and give a reason for any negative answers.
Is 12 an integral domain?
Is R a field?
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY