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2 cards from this section. Quick, good the night before a test.
What is a system of linear equations?
Think about how multiple equations can relate to each other.
Define a coefficient matrix.
What do you call the numbers in front of the variables?
What is the definition of a system of linear equations?
Remember the definition discussed in class.
True or False: A consistent system of equations always has exactly one solution.
Think about what it means to be consistent.
A system of three equations is given. Identify its consistency: 2x + 3y + z = 6, x - y + 2z = 3, 4x + 6y + 2z = 12. Is it consistent or inconsistent?
Think about how one equation can be derived from another; this implies dependence.
Construct a matrix for the system defined by: 'The sum of two numbers is 10, and their difference is 2.' Solve for the two numbers using matrix methods.
Matrix methods, like elimination, might help simplify solving the equations.
4 more questions in this section. Enroll free to practise them all.
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