Answer :

A =


|A| =
 2 × 7 -  (-3) × (-4) = 14 – 12 = 2.


We will calculate the co-factors of the matrix A,


∴ 
 A11 = 7, A12 = 4, A21 = 3, A22 = 2


adj(A) =
=  



Now,

To Prove: 2 A–1 = 9I – A

Proof: 



and, 





L.H.S = R.H.S

Hence, Proved.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Using matrices, sMathematics - Board Papers

If possible, usinMathematics - Exemplar

If possible, usinMathematics - Exemplar

Using matrices, sMathematics - Board Papers

Prove that <span Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If A is a <span lMathematics - Board Papers