Linear Algebra Examples

A = (1, 2, 3)

$A = (1, 2, 3)$ ,

B = (0, 1, 2, 3, 5, 9)

$B = (0, 1, 2, 3, 5, 9)$

Step 1

Set up the intersection notation of set

{1, 2, 3}

${1, 2, 3}$ and

{0, 1, 2, 3, 5, 9}

${0, 1, 2, 3, 5, 9}$ .

{1, 2, 3} \cap {0, 1, 2, 3, 5, 9}

${1, 2, 3} \cap {0, 1, 2, 3, 5, 9}$

Step 2

The intersection of two sets is the set of elements which are in both sets.

{1, 2, 3}

${1, 2, 3}$

Step 3

The complement of the two sets is the remaining members of

{1, 2, 3}

${1, 2, 3}$ that aren't members of the intersection of the two sets.

{}

${}$

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