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![[tex] f: R^5 \rightarrow R^2[/tex]](images/latex/68b6174d6bfbb002dadce36f880682fa4619572e_0.png "[tex] f: R^5 \rightarrow R^2[/tex]")
epimorfismo ![[tex] \Rightarrow dim Imf =2 \Rightarrow dim Nuf = 3 [/tex]](images/latex/c6cd45ab40f7431ddd9b3b7da5b49be24ba326cb_0.png "[tex] \Rightarrow dim Imf =2 \Rightarrow dim Nuf = 3 [/tex]")
![[tex] g: R^2 \rightarrow R^4 \Rightarrow dim Imf =1 \Rightarrow dim Nuf = 1 [/tex]](images/latex/c4178a84fd59ae7700803a39ab4aee53d4042044_0.png "[tex] g: R^2 \rightarrow R^4 \Rightarrow dim Imf =1 \Rightarrow dim Nuf = 1 [/tex]")
![[tex] f(\vec v_1)= 0 [/tex]](images/latex/84313ebe17e86e88fd8ce4423716f8cefa3c3937_0.png "[tex] f(\vec v_1)= 0 [/tex]")
![[tex] f(\vec v_2)= 0 [/tex]](images/latex/84050525ea0b672a8498c27c6d90f0b09a69a9d1_0.png "[tex] f(\vec v_2)= 0 [/tex]")
![[tex] f(\vec v_3)= 0 [/tex]](images/latex/662b4de6bc9fde27677c9b3c60f012bddb71496f_0.png "[tex] f(\vec v_3)= 0 [/tex]")
![[tex] f(\vec v_4)= \vec w1 [/tex]](images/latex/6c42d8319eb65a7c69f57300e49d7d5d9649519f_0.png "[tex] f(\vec v_4)= \vec w1 [/tex]")
![[tex] f(\vec v_5)= \vec w2 [/tex]](images/latex/244975e8136dd1b0af0c195bfa7cddc0680faa44_0.png "[tex] f(\vec v_5)= \vec w2 [/tex]")
![[tex] g(f(\vec v_1))= g(0) = 0 [/tex]](images/latex/ba322d8a8216e4e52331be1bc1c366ebd7b42e36_0.png "[tex] g(f(\vec v_1))= g(0) = 0 [/tex]")
![[tex] g(f(\vec v_2))= g(0) = 0 [/tex]](images/latex/51609d7451fbac6323d526774522de560ea2c844_0.png "[tex] g(f(\vec v_2))= g(0) = 0 [/tex]")
![[tex] g(f(\vec v_3))= g(0) = 0 [/tex]](images/latex/d241f24de414c0442ccd43243ef7885d376b4cdc_0.png "[tex] g(f(\vec v_3))= g(0) = 0 [/tex]")
![[tex] f:v \rightarrow w[/tex]](images/latex/5ed653c0f5c09a91760df2a2782f7fb4ad5b7f96_0.png "[tex] f:v \rightarrow w[/tex]")
se cumple siempre que ![[tex] f(0)=0 [/tex]](images/latex/e4b3e4f5ce552381bde3dade5bf595029866aef7_0.png "[tex] f(0)=0 [/tex]")
![[tex] g(f(\vec v_4))= g(\vec w_1) = 0 [/tex]](images/latex/9c14865d2920d965bba2a010ae4d8799d44210fa_0.png "[tex] g(f(\vec v_4))= g(\vec w_1) = 0 [/tex]")
![[tex] g(f(\vec v_5))= g(\vec w_2) = \vec z_1 [/tex]](images/latex/0706fd65be0a643e36e8d233bbe41beb6fe9d1ff_0.png "[tex] g(f(\vec v_5))= g(\vec w_2) = \vec z_1 [/tex]")
![[tex] \Rightarrow RTA : (Nu(g o f)) = 4 [/tex]](images/latex/1cf7f015740b2255206071efef4ed12edc447f82_0.png "[tex] \Rightarrow RTA : (Nu(g o f)) = 4 [/tex]")
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