Can you solve it
Algebra
Level
pending
Let A be an idempotent matrix and (I+A)^100 = 1+(2^20K -1). Find the value of K.
The answer is 5.
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1 solution
(kI+A)^n = [(k+1)^n - k^n] A + I k^n I means identity matrix and A is idempotent matrix put k=1 and n=100 then by comparing find 20k=100 finally k=5