1. By using cofactors Ci; of 10 - -1 A 3 1 0 -42 2 find...

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1. By using cofactors Ci; of 10 - -1 A 3 1 0 -42 2 find adjA. Verify that the adj A you obtained is correct by multiplying it with A. 2. For the following matrix 1 -1 1 A = = 1 1 1 1 1 = (3+2 5 marks) (a) Find the eigenvalues Explain how you can determine one eigen- value without any calculations. (b) For each eigenvalue find the corresponding eigenvector(s). (c) Starting with the eigenvectors you found in (b) construct a set of orthonormal vectors using the Gram-Schmidt procedure. 1. By using cofactors Ci; of 10 - -1 A 3 1 0 -42 2 find adjA. Verify that the adj A you obtained is correct by multiplying it with A. 2. For the following matrix 1 -1 1 A = = 1 1 1 1 1 = (3+2 5 marks) (a) Find the eigenvalues Explain how you can determine one eigen- value without any calculations. (b) For each eigenvalue find the corresponding eigenvector(s). (c) Starting with the eigenvectors you found in (b) construct a set of orthonormal vectors using the Gram-Schmidt procedure.