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# Test3 - Math 332 Test 3 Printed Name Please carefully work...

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Math 332 – Test 3 Printed Name: Please carefully work all of the following problem(s). You must SHOW YOUR WORK to receive ANY credit! 1 Please answer the following questions. A 8 pts [1] Complete the definition: Let A be any square matrix. A number λ is an eigenvalue of A if... B 8 pts [1] Complete the definition: For an inner-product space V , and a subspace U of V , the orthogonal complement of U , U , is... C 8 pts [1] Complete the definition: Let V be an inner product space and h x , y i be its inner product. A norm on V is... D 8 pts [1] Complete the definition: Let X be a vector space. X is the direct sum of two subspaces, U and V , if... Dr. Emmert Spring 2010 I of IV Points Earned of 32

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Math 332 – Test 3 2 18 pts [4] Please carefully answer one of the following two statements A Grade Me Any set of eigenvectors corresponding to distinct eigenvalues of a matrix is linearly independent. B Grade Me Every orthogonal set of nonzero vectors in an inner-product space is linearly independent.
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Test3 - Math 332 Test 3 Printed Name Please carefully work...

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