Redundancy Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
If a 3×33 \times 3 system has rank 2, how many redundant equations are there?

Solution

  1. 1
    3 equations total, rank 2 means 2 are independent.
  2. 2
    3−2=13 - 2 = 1 redundant equation.

Answer

11 redundant equation
The rank gives the number of independent equations. The difference between total equations and rank gives the number of redundant ones. Here, one equation is a combination of the other two.

About Redundancy

An equation in a system that is a linear combination of the others and therefore adds no new constraints or information.

Learn more about Redundancy →

More Redundancy Examples

Example 1 easy

In [formula], is the second equation redundant?

Example 2 medium

In [formula], is equation 3 redundant?

Example 3 easy

Is [formula] redundant in [formula]?

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