Question

Let B={(4,0), (0,3)} and v = (12,6). Find [v]_B, the coordinate vector of v, relative to basis B. (To enter a height 2 column vector, use the notation (a,b)^T.)

Answer 1

solution] Given Problem is set BzZ 1547 6072 llolla solution - Since Given Problem is Let B = {(4,0), (0,3)} & Vz (12,6). we need to find [U] , the coordinate vector of v relative to Basis B. since we have B= (6,62] = {(4,0), (0,3) st. 61 (4,0) 62 (0,3) to find the coordinate vector of u relative to basis B the desired coordinate say x, y satisfy Tv=xbit y 62 om using it we get (12,6)= 2(4,0) + y (0,37 =) 2 (12,6 ) = (4%,0) + (0,34) (12,6)= 142,37) on comparing 4x = 12, 3y = 6 = x=3, y=2]