Question: Let T : R3 > R3 be a map dened as follows: 2$+y+z T(H)=[ My] y+z (a) Verify that T is a linear transformation. N'EH

Let T : R3 > R3 be a map dened as follows: 2$+y+z T(H)=[ My] y+z (a) Verify that T is a linear transformation. N'EH (b) Find the matrix A of the linear transformation T and point out the size of A. (c) Find a basis of the column space Col(A). (d) Find the dimension dim(Col(A)) of the row space of A and the dimension dim(Nul(A)) of the null space of A

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