Linear Algebra Examples

A = (2, 3, 4, 5)

$A = (2, 3, 4, 5)$

Step 1

The power set of a set

S

$S$ is the set of all subsets of

S

$S$ . The first subset will be set

S

$S$ itself. Next, find all subsets that contain one less element (in this case

3

$3$ elements). Continue with this process until finding all subsets including the empty set.

Power Set =

{{2, 3, 4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 5}, {4, 5}, {2}, {3}, {4}, {5}, {}}

${{2, 3, 4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 5}, {4, 5}, {2}, {3}, {4}, {5}, {}}$

A = (2, 3, 4, 5)

$A = (2, 3, 4, 5)$

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