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Mathematics 20 Online
OpenStudy (anonymous):

HOW DO YOU FIND THE NORM OF A MATRIX?

OpenStudy (owlfred):

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

has to do with absolute values

OpenStudy (anonymous):

yea, I know that, but I was looking for a formula

OpenStudy (anonymous):

there are many formulas. about 5 or 6 that will show that

OpenStudy (anonymous):

could you show me one, or tell me where one is on this website?

OpenStudy (anonymous):

\[\left| A \right| > 0 when A \neq 0 and \left| A \right| =0 if A=0\]

OpenStudy (anonymous):

\[\left| A+B \right| \le \left| A \right|+\left| B \right|\]

OpenStudy (anonymous):

are two

OpenStudy (anonymous):

right but if I have a 2x2 matrix with four entries, how do I calculate the norm?

OpenStudy (anonymous):

kind of like if I have a vector it is shown that you can calculate the norm by taking the square root of the each of the entries squared

OpenStudy (anonymous):

sqrtx^2 equals sqrtx*sqrtx

OpenStudy (anonymous):

\[\sqrt x * \sqrt x = \sqrt x^2 = x\]

OpenStudy (anonymous):

make sense?

OpenStudy (anonymous):

is x the norm?

OpenStudy (anonymous):

or is x the matrix?

OpenStudy (anonymous):

never mind, I get it

OpenStudy (anonymous):

i wouldn't know the particular wording... lol but the equation makes sense right?

OpenStudy (anonymous):

Yea, Thank You very much

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

click good answer please :)

OpenStudy (anonymous):

where is it?

OpenStudy (anonymous):

next to my name. :) it closes out the question as it's been answered.

OpenStudy (anonymous):

Got it

OpenStudy (anonymous):

lol, sorry it took so long

OpenStudy (anonymous):

it's okay. that way it just takes it off the unanswered questions list :) stick around and enjoy the site

OpenStudy (anonymous):

@djswanson- i would like to add that the norm u wer talking about is called EUCLEDIAN NORM ........ @basketmath - there are many other norms for a matrix like : 1) taking maximum from the matrix ( highest magnitude) 2) thr is something called Frobenius Norm. etc. etc.... Hope this clarifies any other doubt of yours about NORMS as defined for MATRICES.

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