Why is vector division undefined, Mathematics

Assignment Help:

Division basically refers to multiplication of reciprocal. For example a/b is same as a*1/b or we can say, is same as a*b-1, which is "a" multiplied to the inverse of "b". There is no way of finding an inverse to a vector, and even if you could, you cant necessarily know if division in case of vectors implies left multiplication of inverse or right multiplication of inverse as we know that multiplication is not commutative in case of vectors i.e. AB≠BA where A,B are vectors. Hence, division of vectors is not defined.

If A and B are vectors, A/B could be AB-1 or it could be B-1A. Which way we mean isnt certain, and commutativity is an issue. And then finding b-1 is also an issue. Therefore A/B cannot be found out.


Related Discussions:- Why is vector division undefined

Dividing whole numbers, Dividing Whole Numbers: Example: Divide 3...

Dividing Whole Numbers: Example: Divide 347 by 5. Solution:                      Beginning from the left of the dividend, the divisor is divided into the

Matrices, problem faced by students

problem faced by students

Linear algebra, i have question like proof, can you please help me on it?

i have question like proof, can you please help me on it?

Combined mean and standard deviation -illustration, Combined mean Assu...

Combined mean Assume m be the combined mean Assume x 1 be the mean of first sample Assume x 2 be the mean of the second sample Assume n 1 be the size of the 1 st

Power of x, (x+1/x)^2=3 then value of x^72+x^66+x^54+x^36+x^24+x^6+1 is

(x+1/x)^2=3 then value of x^72+x^66+x^54+x^36+x^24+x^6+1 is

Alternating series test - sequences and series, Alternating Series Test - S...

Alternating Series Test - Sequences and Series The final two tests that we looked at for series convergence has needed that all the terms in the series be positive.  Actually t

The sum of their ages is 104 how old is shari, Sam's age is 1 less than dou...

Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S

Math, what is 24566x12567=

what is 24566x12567=

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd