NCERT Class 12 Maths · Chapter 3 Matrices · Miscellaneous Exercise Question 8

✅ Step-by-Step Solution

1. The right side has 2 rows while the factor A is 2×3, so X must be 2×2. Put X=[[a,b],[c,d]].
2. Equating product entries gives a+4b=−7,2a+5b=−8,3a+6b=−9; c+4d=2,2c+5d=4,3c+6d=6.
3. The first two equations in each row give a=1,b=−2,c=2,d=0; each remaining equation is satisfied.
4. Thus X=\(\left[\begin{matrix}1 & -2\\2 & 0\end{matrix}\right]\), and direct multiplication verifies the result.