$E$ is an orthogonal projection on a subspace $W$ of $V$ (please explain what that means), and $k>0$. Prove that $kI+E$ is positive definite. Thanks!
$kI+E$ is positive definite where $E$ is an orthogonal projection and $k>0$.
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linear-algebra
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1Maybe you should think about how to answer your main question here _after_ you understand the meanings of those two terms. You might find you're then able to answer that main question without any help. – 2012-10-26
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0Couldn't find anything on orthogonal projection which helped me solve this exercise. – 2012-10-26