et AequalsStartSet Bold a 1 comma Bold a 2 comma Bold a 3 EndSet and BequalsStartSet Bold b 1 comma Bold b 2 comma Bold b 3 EndSet be bases for a vector space V, and suppose Bold b 1 equals 6 Bold a 1 minus 3 Bold a 3, Bold b 2 equals negative Bold a 1 plus 4 Bold a 2, Bold b 3 equals Bold a 1 plus Bold a 2 plus 5 Bold a 3.a. Find the change-of-coordinates matrix from Upper B to Upper A. b. Find [Bold x ]Subscript Upper A for Bold x equals Bold b 1 minus 3 Bold b 2 plus 3 Bold b 3.a. ModifyingBelow Upper P With Upper A left arrow Upper Bequals[Start 3 By 3 Matrix 1st Row 1st Column nothing 2nd Column nothing 3rd Column nothing 2nd Row 1st Column nothing 2nd Column nothing 3rd Column nothing 3rd Row 1st Column nothing 2nd Column nothing 3rd Column nothing EndMatrix ]b. [Bold x ]Subscript Upper Aequals[Start 3 By 1 Matrix 1st Row 1st Column nothing 2nd Row 1st Column nothing 3rd Row 1st Column nothing EndMatrix ](Simplify your answers.)