# Matrix Geometric Interpretations

?
If the matrix is singular...
...det M = 0, so there can be infinite solutions or no solutions
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What is a consistent system?
When there is a solution (one or infinite)
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What is an inconsistent system?
When there are no solutions
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Geometric interpretation of system having one solution?
All three planes meet at one point
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Geometric interpretation of system having no solutions?
A prism or the multiple planes are parallel
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When would the planes be parallel?
When the equations for the planes are linear multiples of each other
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Geometric interpretation of system having infinite solutions?
A sheaf or all equations represent the same plane
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## Other cards in this set

### Card 2

#### Front

What is a consistent system?

#### Back

When there is a solution (one or infinite)

### Card 3

#### Front

What is an inconsistent system?

### Card 4

#### Front

Geometric interpretation of system having one solution?

### Card 5

#### Front

Geometric interpretation of system having no solutions?