1
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

Consider matrix $$A = \left[ {\matrix{ 2 & 1 \cr 1 & 2 \cr } } \right]$$, if $${A^{ - 1}} = \alpha I + \beta A$$, where $$\alpha$$, $$\beta$$ $$ \notin $$ R, then ($$\alpha$$ + $$\beta$$) is equal to (where A$$-$$1 denotes the inverse of matrix A)

A
1
B
$${4 \over 3}$$
C
$${5 \over 3}$$
D
$${1 \over 3}$$
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