Determine whether or not the following transformation T : V → W is a linear tran

kdgg0909gn 2021-11-22 Answered
Determine whether or not the following transformation T : V → W is a linear transformation. If T is not a linear transformation, provide a counter example. If it is, then: (i) find the nullspace N(T) and nullity of T, (ii) find the range R(T) and rank of T , (iii) determine if T is one-to-one, (iv) determine if T is onto.
\(\displaystyle{T}:{R}^{{2}}→{R}^{{2}}{d}{e}{f}\in{e}{d}{b}{y}{T}{\left({x},{y}\right)}={\left({x}+{1},{y}\right)}\)

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Expert Answer

Warajected53
Answered 2021-11-23 Author has 115 answers

Determining;
Step 1
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Step 2
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