If `A=[[2,3],[1,4]]` and if `(A+I)^(-1)=alpha A+beta I` then `(alpha,beta)=` ? (where `I` is identity matrix and `alpha,beta in R`

Let A= [(1,2),(-1,4)] . If A^(-1)= alpha I +beta A, alpha, beta in R , I is a 2 xx 2 identity matrix, then 4(alpha-beta) is equal to

[" Let "A=[[1,2],[-1,5]]" .If "A^(2)=alpha A+beta I" ,where "alpha,beta in R" and "l" is an identity matrix of order "2" ,then "],[alpha+beta" is equal to "]

If A=[[1,4,0],[5,2,6],[1,7,1]] and A^(-1)=(1)/(36)(alpha A^(2)+beta A+yI), where I is an identity matrix of order 3, then value of alpha, beta, gamma

" If "(1+i)^(100)=2^(49)(alpha+i beta)" then "sqrt(alpha^(2)+beta^(2))

A=([1,0,0],[0,1,1],[0,-2,4])" and if "A^(-1)=(1)/(6)[alpha A^(2)+beta A+gamma I]" when "I" is unit matrix of order "3" then the value of "alpha+beta+gamma" is "

Let A=([2,1,3],[1,1,2],[3,1,1]) and A^(-1)=alpha A^(2)+beta A+gamma I ,then which of the following holds good (A) alpha+beta=1 (B) 3(alpha+beta+gamma)=10(C) 8(beta+gamma)=11 (D) 8(alpha+gamma)=3]]

If abs(z+1)=alphaZ+beta(1+i) then z=1/2-2i then the value of abs(alpha+beta) is equal to, where alpha,betainR

Write the quadratic equations, if (i) alpha + beta = -6, alpha beta = 4 (ii) alpha + beta = 8 , alpha beta = -3

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are

Let alpha,beta in R and (alpha-beta i )/(1+2i) =(-6-8i )/(5) . The value of (alpha+beta) is