Consider a system with one component that is subject to failure, and suppose that we have 120 copies of the component. Suppose f
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Answer:
a) Observe that
Then,
b) The zero matrix satisfies that for every matrix B such that the product is well defined,
Since the matrix G is the zero matrix then
c) The identity(Id) matrix satisfies that for that for every matrix B such that the product is well defined Id*B=B=B*Id. Observe that G is the identity matrix, then FG=F*Id=F=Id*F=GF
d) Observe that
.
Then