NCERT Class 12 · Ch 3 Exercise 3.4 · Q1
NCERT Class 12 Maths · Chapter 3 Matrices · Exercise 3.4 Question 1
Matrices A,B are inverses of each other precisely when which condition holds?
💡 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: AB=BA=I.
- The definition of a two-sided inverse is AB=I and BA=I for compatible square matrices.
- The other conditions do not establish an inverse. Select D.
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