AP EAMCET202125 Aug 2021Evening ShiftMathematicsDeterminantsActual
Let A= [ array cc 1 & 3 4 & -3 array ] , Let S= [ array l x y array ] R^2 / A [ array l x y array ]=3 [ array l x y array ] what is the cardinality of S ?
Options
- A1
- BCountably infinite
- C|S|> 1 but S is finite
- DUncountable
Correct answer
D. Uncountable
Step-by-step solution
Given aligned & A= [ array cc 1 & 3 4 & -3 array ] & S= [ array l x y array ] R^2 A [ array l x y array ]=3 [ array l x y array ] aligned To Find Cardinality of S array lr & A [ array l x y array ]=3 [ array l x y array ] & [ array cc 1 & 3 4 & -3 array ] [ array l x y array ]= [ array l 3 x 3 y array ] & [ array c x+3 y 4 x-3 y array ]= [ array l 3 x 3 y array ] array aligned & x+3 y=3 x and 4 x-3 y=3 y & 2 x=3 y & x=3 y / 2 & S= [ array l 3 y 2 y array ] R^2 A [ array l x y array ]=3 [ array l x y array ] & = [ a