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(Solved): 1.Let T(x,y,z)=(x+y,x+z,yz) a. Find the domain, and codomain of the transformation b. Is T a lin ...



1.Let \( T(x, y, z)=(x+y, x+z, y-z) \)
a. Find the domain, and codomain of the transformation
b. Is T a linear transformation
1.Let a. Find the domain, and codomain of the transformation b. Is T a linear transformation? c. Find its matrix with respect to the standard basis d. Is T 1-1? e. Is T onto? f. Is T an isomorphism?


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Given transformation is,

  .

(a)

Here,    maps from    to   .

So, domain    and codomain   .

(b).

Let...
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