NCERT Class 12 · Ch 3 Exercise 3.1 · Q2
NCERT Class 12 Maths · Chapter 3 Matrices · Exercise 3.1 Question 2
List possible matrix orders for 24 entries, and for 13 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: 24: 1×24, 2×12, 3×8, 4×6, 6×4, 8×3, 12×2, 24×1; 13: 1×13, 13×1
- A matrix of order r×c has rc entries, with r,c positive integers.
- Factor 24 into all ordered positive factor pairs: 1×24, 2×12, 3×8, 4×6, 6×4, 8×3, 12×2, 24×1.
- Factor 13 into all ordered positive factor pairs: 1×13, 13×1.
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