cmi-entrance 2020 Q4

cmi-entrance · India · pgmath 4 marks Matrices True/False or Multiple-Select Conceptual Reasoning

Let $A$ and $B$ be $5 \times 5$ real matrices with $A^{2} = B^{2}$. Which of the following statements is/are correct?
(A) Either $A = B$ or $A = -B$.
(B) $A$ and $B$ have the same eigen spaces.
(C) $A$ and $B$ have the same eigen values.
(D) $A^{13} B^{3} = A^{3} B^{13}$.

Let $A$ and $B$ be $5 \times 5$ real matrices with $A^{2} = B^{2}$. Which of the following statements is/are correct?\\
(A) Either $A = B$ or $A = -B$.\\
(B) $A$ and $B$ have the same eigen spaces.\\
(C) $A$ and $B$ have the same eigen values.\\
(D) $A^{13} B^{3} = A^{3} B^{13}$.

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17* Q18* Q19* Q20*