NCERT Class 12 · Ch 3 Exercise 3.1 · Q3
NCERT Class 12 Maths · Chapter 3 Matrices · Exercise 3.1 Question 3
List possible matrix orders for 18 entries, and for 5 entries.
💡 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: 18: 1×18, 2×9, 3×6, 6×3, 9×2, 18×1; 5: 1×5, 5×1
- A matrix of order r×c has rc entries, with r,c positive integers.
- Factor 18 into all ordered positive factor pairs: 1×18, 2×9, 3×6, 6×3, 9×2, 18×1.
- Factor 5 into all ordered positive factor pairs: 1×5, 5×1.
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