NCERT Class 12 · Ch 3 Exercise 3.1 · Q10
NCERT Class 12 Maths · Chapter 3 Matrices · Exercise 3.1 Question 10
How many 3×3 matrices have every entry either 0 or 1?
💡 Concept Hints
- Check the matrix orders and the meaning of the requested operation before calculating.
- Keep row and column indices in order. Compare corresponding entries only after the matrix expressions have compatible dimensions.
✅ Step-by-Step Solution
Final Answer: D: 512.
- There are 9 independently chosen entries.
- Each has 2 possibilities, so the total is 2⁹=512, option D.
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