Q32Comprehension2 Marks2 Apr 2023PassageLet T:R2→R3T:\mathbb{R}^2\to\mathbb{R}^3T:R2→R3 be defined by T(x,y)=(x+y,x−y,3x+y)T(x,y)=(x+y,x-y,3x+y)T(x,y)=(x+y,x−y,3x+y).Let BBB denote the matrix of TTT with respect to the standard ordered bases for R2\mathbb{R}^2R2 and R3\mathbb{R}^3R3. Choose the correct options.AAAA is equivalent to BBB.BAAA is not equivalent to BBB.CThere exist two invertible matrices CCC and DDD such that BD=CABD=CABD=CA.DThere are no matrices CCC and DDD such that BD=CABD=CABD=CA.
