Question: Here is a 3 part question:) Part 1: Let F be a linear application of R3 in R such that F(X,y,z)=(x+2y-3z, 2x+5y-4z, x+4y+z). If dim

Here is a 3 part question:)

Part 1: Let F be a linear application of R3 in R such that F(X,y,z)=(x+2y-3z, 2x+5y-4z, x+4y+z). If dim (Ker F)=a and dim (Im F)=b, then the values a and b are respectively equal to ( in order ) a= b= Part 2: Let F be the linear application defined in part 1, then F is injective. True or False? Part 3 : Let F be the linear application defined in Part 1, then F is surjective True of False

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