Linear algebra Matrix

Let A ∈ Mn(R) such that I + A is invertible. Suppose that

B = (I − A)(I + A)^-1

(a) Show that B = (I + A)−1(I − A)

(b) Show that I + B is invertible and express A in terms of B.

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Dear everyone!! I would like to share some solution of TD1-Matrix of Linear algebra with you even you learn from other teacher (keep it as references).

Solution to TD1-Matrix for some exercises. some questions are still updating. if there is any mistake please kindly correct by yourself. Thank you

SUN BUNRA answered 2 years ago

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