Basis maths-linear algebra-Q16

+1 vote

If \lambda ^3-7\lambda ^2+4\lambda+2 = 0 is a characteristic equation of matrix A. Then A^{-1} in terms of A and A^{2}

(A) \frac{1}{2}[7A+4I-A^2]

(B) \frac{1}{2}[7A-4I-A^2]

(C) \frac{1}{2}[7A-4I+A^2]

(D) \frac{1}{2}[7A+4I+A^2]

asked May 15 in Basic Maths by gbeditor (44,500 points)
reshown May 16 by gbeditor

1 Answer

+1 vote
 
Best answer

The answer should be  (B) \frac{1}{2}[7A-4I-A^2]

answered Jun 11 by deepak-gatebook (112,390 points)
Answer:
...