Linear algebra

Given the two ordered bases Urr below for BB [also the standard basis E : [EhumEQD U 1 1 U: LI] 1 1,112 3 1,113 2 D D 1 4 1 U V: 171 1 1V3: U 1V3: 2 D 1 {a} Find the transition matrix Sun]; from the U basis tn the standard one. (b) Find the transition matrix Sitr from the standard basis to the V basis. {-3} Find the transition matrix Sirr from the U basis to the V basis. (d) For x = 3 111 + 2 112- 4 1.131 nd the coordinate sector [x]U of x with respect to the U basis. {e} For the same at above, nd the coordinate sector [11hr of x with respect to the V basis