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Grade: 12
        
Dear sir please find the attached answer as soon as possible
3 months ago

Answers : (2)

Arun
21510 Points
							
Dear student
 
just find out A^2 = [  7.      12
                                4.        7]
 
A = [ 2.       3
        1.        2]
 
hence A^2 – 4A = [ – 1.      0
                                  0.      – 1]
 
hence A^2 – 4A + I = 0
 
hence proved
3 months ago
ranjan saha
15 Points
							
  • The charateristic equation of matrix A is \begin{vmatrix} 2-x & 3\\ 1&2-x \end{vmatrix}=0 i.e. (2-x)2-3=0 i.e. x2-4x+1=0
       Hence by Cay lay hamilton theorem A2-4A+I2=O2. (Proved)
3 months ago
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