Question
Download Solution PDFIf \(\Delta = \begin{vmatrix} a & b & c \\ d & e & f \\ g & h & i \end{vmatrix} \)
and A, B, C, D, G are the cofactors of the elements a, b, c, d, g respectively, then what is equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Cofactors:
⇒ A = ei – hf
⇒ B = gf – di,
⇒ C = dh – ge
⇒ D = ch – bi and
⇒ G = bf – ec
Now, bB + cC – dD – gG
= bgf – bdi + cdh – cge – cdh + bdi – gbf + gec = 0
Hence, the correct answer is Option 1.
Last updated on Jul 8, 2025
->UPSC NDA Application Correction Window is open from 7th July to 9th July 2025.
->UPSC had extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.