For two 3 3 matrices A and B, let A+B=2 B^ and 3 A+2 B=r_ 3 , where B ^ T is the…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
For two \(3 \times 3\) matrices A and B, let \(A+B=2 B^{\top}\) and \(3 A+2 B=r_{3}\), where \(\boldsymbol{B}^{T}\) is the transpose of B and I3 is \(3 \times 3\) identify matrix. Then:
- 10A + 5B = 3I3
- 3A + 6B = 2I3
- 5A + 10B = 2I3
- B + 2A = I3
Answer
(C) 5A + 10B = 2I 3
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