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EM-Quiz12 - MATH 3321 Quiz 12 1 If a system of n linear...

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MATH 3321 Quiz 12 4/19/10 1. If a system of n linear equations in n unknowns has infinitely many solutions, then the rank of the matrix of coefficients is n - 1. (a) Always true. (b) Sometimes true. (c) Never true. (d) None of the above. 2. If 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions. 3. If 0 is not an eigenvalue of the matrix of coefficients of a homogeneous system of n linear equations in n unknowns, then the system does not have infinitely many solutions. 4. If a system of n linear equations in n unknowns is dependent, then 0 is an eigenvalue of the matrix of coefficients. 1
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5. The number of independent eigenvectors of
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