Question

if A square -A + I = 0 find the inverse of A.

Answer 1

\[\textbf A^2-\textbf A+\textbf I=0\]

Answer 2

yes

Answer 3

how we need to find the inverse ? @UnkleRhaukus

Answer 4

multiply on the left by \(\textbf A^{-1}\)

Answer 5

what shall we get? n btw plesae tell me how do we multiply any number by inverse? i dunno

Answer 6

\[\textbf A^{-1}\textbf A^2-\textbf A^{-1}\textbf A+\textbf A^{-1}\textbf I=0\]
\[\textbf A-\textbf I+\textbf A^{-1}=0\]

Answer 7

\[\textbf A^{-1}=\textbf I-\textbf A\]

Answer 8

did you follow that?