JEE Main 2024 Mathematics question
If , , C = ABA and X = ACA, then det X is equal to:
Answer: (C)
Solution
X = (AᵀA)B(AᵀA)B(AᵀA), so det X = (det A)⁶(det B)² = 3⁶ = 729.
If , , C = ABA and X = ACA, then det X is equal to:
X = (AᵀA)B(AᵀA)B(AᵀA), so det X = (det A)⁶(det B)² = 3⁶ = 729.