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Find the vector x determined by the given coordinate vector [x]; and the given basis B. 2 4 3 B= [X]B 5 4 . . . X= (Simplify your answer.)Find the coordinate vector [x] of x relative to the given basis B = {b1, b2}. 2 0 b1 = by = , X= - 4 9 [x]B (Simplify your answer.)Find the changeofcoordinates matrix from B to the standard basis in R\". 2 '3 3 B: 8 y 0 a _9 5 '7 5 Use an inverse matrix to find [x] for the given x and B. 6 B= - 2 [X]B = (Simplify your answer.)The vectors v1 = _2 . v2= _ . V3= |span R2 but do not form a basis. Find two different ways to ex AO as a linear combination of v1, V2, V3- Write A O as a linear combination of v1, V2, V3 when the coefficient of V3 is 0. O 4Let B= , Since the coordinate mapping determined by B is a linear transformation from R" into R, this mapping must be implemented by some 2 x 2 matrix A. Find it. [Hint: Multiplication by A should transform a vector x into its coordinate vector [x]B.] . . . A =