Topic: Engineering Mathematics
What is the value of the determinant consisting of rows (b²+c², ab, ac), (ba, c²+a², bc), and (ca, cb, a²+b²)?
- A. $4a^2b^2c^2$
- B. $8a^2b^2c^2$
- C. $2a^2b^2c^2$
- D. zero
Answer: A. $4a^2b^2c^2$
Explanation: Expanding the given $3 \times 3$ determinant algebraically leads to terms canceling out. The final simplified polynomial evaluates precisely to $4a^2b^2c^2$.