
Matrices & Systems of Linear Equations
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•
Mathematics
•
University
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a matrix?
Back
A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
2.
FLASHCARD QUESTION
Front
What are the dimensions of a matrix?
Back
The dimensions of a matrix are given in the form 'rows x columns', indicating the number of rows and the number of columns.
3.
FLASHCARD QUESTION
Front
What is an augmented matrix?
Back
An augmented matrix is a matrix that includes the coefficients of a system of linear equations along with the constants from the equations.
4.
FLASHCARD QUESTION
Front
How do you represent a system of linear equations using matrices?
Back
A system of linear equations can be represented using a coefficient matrix and a constant matrix, often written in the form AX = B.
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A system of equations is consistent if there is at least one solution that satisfies all equations in the system.
6.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
A system of equations is inconsistent if there are no solutions that satisfy all equations in the system.
7.
FLASHCARD QUESTION
Front
What is the solution to a system of linear equations?
Back
The solution to a system of linear equations is the set of values for the variables that make all equations true.
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