Question: Prove the following arguments. 1. Let I E Rnxn be the identity matrix, and u E R be a non-zero vector. Then, the matrix I

Prove the following arguments.

Prove the following arguments. 1. Let I E Rnxn be the identity

1. Let I E Rnxn be the identity matrix, and u E R" be a non-zero vector. Then, the matrix I - 2 uut uTu is non-singular

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