3. Assume A, B are an n x n invertible matrices and c, c‡0 is a scalar, prove the following statements: Hint: To show a matrix is an inverse of another you will need to show left and right multiplication holds! Rely on the following definition (from Section 2.2) for invertible matrices in your proofs: An n x n matrix A is said to be invertible if there is an n x n matrix C such that CA = I and AC = I. (a) (4¹)¹ = A (c) (AB)¹ =B¹A-¹ (d) (1¹)¹=(1-¹)" (b) (CA)¹=-A-¹

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