If `A =[[5,4],[0,1]]` write `A^(-1)` in terms of A and I, using Cayley-Hamilton theorem.​

If A=[{:(2,3),(5,-2):}] , write A^(-1) in terms of A.

If I=[[1,0],[0,1]] , then I^4=

If A^(2)-A+I=0 then find A^(-1) .In terms of A and I

Find the characteristic equation of the matrix A= [(2,1),(3,2)] and hence find its inverse using Cayley-hamilton theorem.

Linear system OF equation ( Gauss jordan method , Cayley hamilton theorem)

Idempotent matrix || Nilpotent matrix || Periodic matrix || Involuntary matrix || Cayley-Hamilton theorem

Solve z^(4)+1=0 using DeMoivre's theorem.

Value of (10.1)^4 , using binomial theorem is 10406.0401

Expand using binomial theorem (4x - 5y)^5 = ………..

Factorise quad 6x^(2)+17x+5 by splitting the middle term,and by using the Factor Theorem.