Matrix of a function

woshifate

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Nov 8, 2015
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F(x,y,z) = (xayb + ycz2)4 / (xazc + x2y2b)3

is homogeneous of degree 2, explain why the numbers a, b and c must satisfy the equations


a + b - c = 2
a - 2b + c = 2
a + 4b - 3c = 2

Hence, use a matrix method to find all possible values of a, b and c.
 
F(x,y,z) = (xayb + ycz2)4 / (xazc + x2y2b)3

is homogeneous of degree 2,...
What is your understanding of what it means for F(x, y, z) to be "homogeneous of degree 2"?

...explain why the numbers a, b and c must satisfy the equations

a + b - c = 2
a - 2b + c = 2
a + 4b - 3c = 2

Hence, use a matrix method to find all possible values of a, b and c.
The link between the system of linear equations and the "Hence" is obvious. What progress are you making in the "explain" part?

Please be complete. Thank you! ;)
 
What is your understanding of what it means for F(x, y, z) to be "homogeneous of degree 2"?


The link between the system of linear equations and the "Hence" is obvious. What progress are you making in the "explain" part?

Please be complete. Thank you! ;)

hi,

My understanding of F(x, y, z) is to transform this into powers so that i can prove the b/m system of linear equations stated by the question to be true. But I do not know how i should factor out the powers. Appreciate if you can help:)
 
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