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True-False Questions

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

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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

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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

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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 . 1. Always true 2. Sometimes true 3. False

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

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