Tip:A–D to answerE for explanationV for videoS to reveal answer
If A and B are two non-zero n×n matrices such that A2+B=A2B, then
- A.
A2=I or B=I
- B.
A2B=I
- C.
AB=I
Explanation
Solution
Di gayi equation ko rearrange karte hain:
Dono sides mein Identity matrix I jodte hain taaki factorization ho sake:
Chunki (A2−I) aur (B−I) ek dusre ke inverse hain, ye commute karenge:
Ise expand karne par:
Explanation
Solution
Di gayi equation ko rearrange karte hain:
Dono sides mein Identity matrix I jodte hain taaki factorization ho sake:
Chunki (A2−I) aur (B−I) ek dusre ke inverse hain, ye commute karenge:
Ise expand karne par:
