Let t: r* > rs be the linear transformation whose matrix with respect to the standard b basis of r3 is -a 0 c,where a, b, c real o a -b -c 0 numbers are not all

Let T: R* > RS be the linear transformation whose matrix with respect to the standard b basis of R3 is -a 0 c,where a, b, c real O a -b -c 0 numbers are not all zero. Then T (a) Is one-to-one (b) Is ontoo (c) Does not map any line through the origin onto itself (d) Has rank 1