MATH 1553 Midterm: MATH 1553 GT Exam 3 Solutions
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All work must be written on the exam itself: you may cite any theorem proved in class or in the sections we covered in the text, good luck! [parts a) through f) are worth 2 points each: suppose a is a 3 3 matrix whose entries are real numbers. Circle all that apply. (a) 0 (b) 1 (c) 2 (d) 3. Answer true if the statement is always true. You do not need to justify your answer. In every case, assume that the entries of the matrix a are real numbers: t, t, t, t. If a is an n n matrix then det( a) = det(a). If v is an eigenvector of a square matrix a, then v is also an eigenvector of a. If a is an n n matrix and = 2 is an eigenvalue of a, then.
