True-False Questions

True-False Questions - 1. If a system of n linear equa-...

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Unformatted text preview: 1. If a system of n linear equa- tions in n unknowns is consistent, then the rank of the matrix of coef- ficients is n . 1. Always true 2. Sometimes true 3. False 1 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 in- finitely many solutions. 1. Always true 2. Sometimes true 3. False 2 2a. If 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has no solutions. 1. Always true 2. Sometimes true 3. False 3 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 ma- trix, then the matrix of coefficients is singular. 1. Always true 2. Sometimes true 3. False 4 4. If a system of n linear equa- tions in n unknowns is dependent, then the rank of the matrix of coef- ficients is less than n ....
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This note was uploaded on 02/09/2011 for the course MATH 3321 taught by Professor Morgan during the Fall '08 term at University of Houston.

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True-False Questions - 1. If a system of n linear equa-...

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