Question 1, please 3) Find the solution in the field of the complex numbers to the linear equation1) Find the inverse of 6- 5/7 in the field Q[ V72) Show that for all 2, a, B E C, 1(a +B)3Aa+2R2 Find the solution in the field of the compiex numbers to the linear equation5) Let Fg have elements {0, 1, 2, 3, 4} and assume that addition and multiplication are given%3D2x- (1+2i) = -ix + (2 + 2i).2-i1+2i/bove elements (0, 1, 2, 3, 4} and assume that addition and multiplication are given6+i%3D4) Find all vectors v E C such that (1 + i)v+3+6iby the following tables:O5 01234O5 12 3412340123 42.2 4 1311234 03.3 1422340| 143 213.3401 244 012 3a) How can we immediately tell from these tables that the operations of addition andmultiplication are commutative? YOw and colums eueelo the ud. squcb) How can we conclude from the addition table that 0 is an additive identity?c) How can we conclude from the addition table that every element has an additive inverserelative to 0?d) How can we conclude from the multiplication table that 1 is a multiplicative identity?e) How can we conclude from the multiplication table that every non-zero element has anmultiplicative inverse relative to 1?6) Making use of the tables for the field Fs in exercise 5, find the solution to the linearequation 3x +2 = 4, where the coefficients of this equation are considered to beelements of Fg.GONES7) Find all vectors v in F such that 2v +()2.

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1) Find the inverse of 6- 5V7 in the fied QI V7I a BEC ala + 6)= Àg + 2e %3D