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AP EAMCET · Maths · Matrices

If A=173-26-6-32-263, then

  1. A A-1=A
  2. B A-1=AT
  3. C A-1 does not exist
  4. D A-1=-A
Verified Solution

Answer & Solution

Correct Answer

(B) A-1=AT

Step-by-step Solution

Detailed explanation

A=173-26-6-32-263 A=37-2149+27-1449+67-427 =-9-4-3649=-1 AT=173-6-2-2-36623 A-1=1AAdjA Now AdjA=17-2114-424221-1414-42-21T =17-2142141421-42-42-14-21 =-36223-6-6-2-3 Hence, A-1=1-17-36223-6-6-2-3 =173-6-2-2-36623