a) Calculate all the cofactors ofA. Show all your works. b) Find the adjoint matrixAdj c) Using, the adjoint matrix ofAfind the inverse ofA(A?1),d) UsingA?1solve the linear equation system.

1. (25 points) Let A be the coefficient matrix of the following linear equation system ( A asagidaki lineer denklem sisteminin katsayilar matrisi olsun) 2x1 + 412 + 513 = 3x1 + 312 - 313 = 1 2x1 + 4:2 + 613 = 4 a) Calculate all the cofactors of A. Show all your works. (A nin kofaktorlerini hesaplayin. Yaptiginiz butun islemleri gosterin) b) Find the adjoint matrix Adj (A) of A,( A nn ek matrisi Ek (A) yi bulumuz) c) Using, the adjoint matrix of A find the inverse of A ( A-1), ( A nin ek matrisini kullanarak A nin tersini bulunuz) d) Using A- solve the linear equation system. (A nin tersini kullanarak lineer denklem sistemini cozunuz)