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A=[1 2 3

     1 5 1

     3 2 1]

The  eigen  value  of  matrix  A   are  equal  to  roots  of  a  cubic
equation x3 + bx2 + cx + d = 0, the value of b – c + d = __________.
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Just expand  | A - $\lambda$.I | = 0

you will get:

$\lambda$3 + (- 7).$\lambda$2 + (-2).$\lambda$ + (-32) = 0

Compare this with given equation: b=-7, c=-2, d=-32

Thus, b-c+d = -7 + 2 - 32 = -37

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