Question: Can someone help solve this question with extensive mathematical writing The Iunetion T : 1R3 } R2 is dened by T :32 = Z2 23

Can someone help solve this question with extensive mathematical writing

The Iunetion T : 1R3 } R2 is dened by T :32 = Z2 23 for all 22 E R3. 5 $1 223 \"3 \""'3 Show that T is linear. To make sure you are on the right track you should answer the following questions a. Is the domain of Ta known vector spaoe? I Yes v I o. Is the codomain ofT a known vector space? I Yes ' I c. Does T preserve vector addition? I Yes v I (1. Does T preserve scalar multiplication? I Yes v

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