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# EM-Quiz13 - MATH 3321 Quiz 13 1 If 0 is not an eigenvalue...

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MATH 3321 Quiz 13 4/22/10 1. 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 has infinitely many solutions. (a) Always true. (b) Sometimes true. (c) Never true. (d) None of the above. 2. If the reduced row echelon form of the matrix of coefficients of a system of n linear equations in n unknowns is I n , then the matrix of coefficients is singular. 3. If the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the system is inconsistent. 4. 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.

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