Domain and Codomain

Algebra Level 2

T ( x 1 x 2 ) = ( 4 x 1 x 1 − x 2 3 x 2 ) T\begin{pmatrix} x_{1} \\ x_{2}\\ \end{pmatrix}= \begin{pmatrix} 4x_{1} \\ x_{1}-x_{2} \\ 3x_{2}\\ \end{pmatrix}

The domain and codomain of the trans-formation T T are in a form of R b \mathbb R^b and R c \mathbb R^c . Find b + c . b+c.


The answer is 5.

Real Sakib25 by Real Sakib25 , 24, Bangladesh

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1 solution

Krishna Karthik
Nov 2, 2020

This transformation basically turns a 2 dimensional vector into a 3 dimensional vector. They are in I ⁣ R 2 \rm I\!R^{2} and I ⁣ R 3 \rm I\!R^{3} , so 5 \boxed{5} .

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