MathAlgebraLinear algebraSystems of linear equations

Matrix rank

Theory

The number of solutions to a linear equation system

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Match the number of solutions for a linear equations system to the correct extended matrix rank.

Match the items from left and right columns
The rank of the extended matrix is equal to the rank of the matrix of coefficients
The rank of the extended matrix is higher than the rank of the matrix of coefficients
The rank of the matrix is equal to the number of unknowns
The rank of the matrix is lower than the number of unknowns
The system has exactly one solution
The system has an infinite number of solutions
The system has no solutions
The system has at least one solution
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