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Let P and Q be 3xx3 matrices with P!=Q ....

Let P and Q be `3xx3` matrices with `P!=Q` . If `P^3=""Q^3a nd""P^2Q""=""Q^2P`, then determinant of `(P^2+""Q^2)` is equal to (1) 2(2) 1 (3)0 (4) 1

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To solve the problem step by step, we will analyze the given conditions and derive the required determinant. ### Step 1: Write down the given equations We have two equations based on the problem statement: 1. \( P^3 = Q^3 \) (Equation 1) 2. \( P^2 Q = Q^2 P \) (Equation 2) ### Step 2: Rearranging Equation 2 ...
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