There are two possible values of A ( . say .A₁ & A₂ ) in the solution of matrix equation [ array cc 2 A+1 & -5 -4 & A array ]⁻¹ [ array cc A-5 & B 2 A-2 & C array ]= [ array cc 14 & D E & F array ] then find -27 (A₁+A₂ )

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Quantrex Academy · Accepted Answer

Correct answer: 9

aligned & ( A -5) A +10 ~A -10 2 ~A ^2+ A -20 =14 & ~A ^2+5 ~A -10=28 ~A ^2+14 ~A -280 & 27 ~A ^2+9 ~A -270=0 & ~A ₁+ A ₂=- 9 27 ,-27 ( ~A ₁+ A ₂ )=9 . aligned

There are two possible values of A ( . say .A₁ & A₂ ) in the solution of matrix equation [ array cc 2 A+1 & -5 -4 & A array ]⁻¹ [ array cc A-5 & B 2 A-2 & C array ]= [ array cc 14 & D E & F array ] then find -27 (A₁+A₂ )

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