Mathematics Matrices 1 Mark
Appeared in: 2025 (2 sets)
Four friends Abhay, Bina, Chhaya and Devesh were asked to simplify $4 \text{AB} + 3(\text{AB} + \text{BA}) - 4 \text{BA}$, where $A$ and $B$ are both matrices of order $2 \times 2$. It is known that $A \neq B \neq I$ and $A^{-1} \neq B$. Their answers are given as : Abhay : $6 \text{AB}$ Bina : $7 \text{AB} - \text{BA}$ Chhaya : $8 \text{AB}$ Devesh : $7 \text{BA} - \text{AB}$ Who answered it correctly ? (A) Abhay (B) Bina (C) Chhaya (D) Devesh