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Unformatted text preview: MATH 3321 Quiz 11 4/12/09 1. If a system of n linear equations in n unknowns is consistent, then the rank of the matrix of coefficients is n . (a) Always true (b) Sometimes true (c) False (d) None of the above 2. If the determinant of the matrix of coefficients of a system of n linear equations in n unknowns is singular, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) False (d) None of the above 3. If the reduced row echelon form of the matrix of coefficients of a system of n linear equations in n unknowns is the identity matrix, then the determinant of the matrix of coefficients is nonzero. (a) Always true (b) Sometimes true (c) False (d) None of the above 4. If a system of n linear equations in n unknowns is dependent, then the rank of the matrix of coefficients is less than n . (a) Always true (b) Sometimes true (c) False (d) None of the above 1 5. If the matrix of coefficients of a system of n linear equations in n unknowns does not have an inverse, then the system has no solutions.an inverse, then the system has no solutions....
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 Fall '08
 morgan
 Math, Determinant, Linear Equations, Equations, Invertible matrix, Row echelon form

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