10.3 Matrices and Systems of Linear Equations

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Pre-Calculus

Matrices

Systems of Linear Equations

Last updated 5:20 PM on 8/4/22
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11 Terms

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Matrix
A rectangular array of numbers
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Dimension
The number of rows in a matrix by the number of columns in a matrix
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Entries
The numbers in the matrix
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Augmented matrix
A matrix obtained by using a linear system
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Row-echelon form
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Leading entry
The first nonzero number in each row
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Reduced row-echelon form
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Gauss-Jordan elimination
Reduced row-echelon form
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Leading variable
A(n) ________ in a linear system is one that corresponds to a leading entry in the row-echelon form of the augmented matrix of the system
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Inconsistent
A system with no solutions
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Dependent
Infinitely many solutions