I WLL GIVE THUMBS UP. Please write clearly answer true or false and give an explanation.
Posted: Thu Jul 14, 2022 3:55 pm
I WLL GIVE THUMBS UP. Please write clearly
answer true or false and give an explanation.
17. If T:R4→M2×2(R) is a linear transformation and T(ej)=(0000) for j=1,2,3,4 then T(x)=(0000) for every vector x∈R4 18. If T:V→W is a and T(x)=T(y) then T(x−y)= 0W 19. If T:V→W is a linear transformation and w∈/R(T) then also 2w∈/R(T). 20. If T:R[x]2→R3 is a linear transformation and R(T)=R3 then T(1)= ⎝⎛100⎠⎞,T(x)=⎝⎛010⎠⎞,T(x2)=⎝⎛001⎠⎞
answer true or false and give an explanation.
17. If T:R4→M2×2(R) is a linear transformation and T(ej)=(0000) for j=1,2,3,4 then T(x)=(0000) for every vector x∈R4 18. If T:V→W is a and T(x)=T(y) then T(x−y)= 0W 19. If T:V→W is a linear transformation and w∈/R(T) then also 2w∈/R(T). 20. If T:R[x]2→R3 is a linear transformation and R(T)=R3 then T(1)= ⎝⎛100⎠⎞,T(x)=⎝⎛010⎠⎞,T(x2)=⎝⎛001⎠⎞