Question: 8 Consider a square matrix B whose inverse is given by B -1 . a In terms of B -1 , what is the inverse

8 Consider a square matrix B whose inverse is given by B^-1.

a In terms of B^-1, what is the inverse of the matrix 100B?

b Let B be the matrix obtained from B by doubling every entry in row 1 of B. Explain how we could obtain the inverse of B from B^-1.
c Let B be the matrix obtained from B by doubling every entry in column 1 of B. Explain how we could obtain the inverse of B from B^-1.

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