If `D=diag(d_1,d_2,d_3,…,d_n)" where "d ne 0" for all " I = 1,2,…,n," then " D^(-1)`is equal to

If A = diag (d_1,d_2,d_3,….d_n) then det A is equal to

If D=diag [2, 3, 4] , then D^(-1)=

Find the inverse of each of the matrices given below : Let D= "diag" [d_(1),d_(2),d_(3)] where none of d_(1),d_(2),d_(3) is ), prove that D^(-1)="diag" [d_(1)^(-1),d_(2)^(-1),d_(3)^(-1)] .

If D=d i ag[d_1, d_2, d_n] , then prove that f(D)=d i ag[f(d_1),f(d_2), ,f(d_n)],w h e r ef(x) is a polynomial with scalar coefficient.

If D=d i ag[d_1, d_2, d_n] , then prove that f(D)=d i ag[f(d_1),f(d_2), ,f(d_n)],w h e r ef(x) is a polynomial with scalar coefficient.