Linear Algebra Examples

A = (1, 2, 3)

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

B = (3, 4, 5, 6, 7, 8, 9, 10)

$B = (3, 4, 5, 6, 7, 8, 9, 10)$

Step 1

Set up the intersection notation of set

{3, 4, 5, 6, 7, 8, 9, 10}

${3, 4, 5, 6, 7, 8, 9, 10}$ and

{1, 2, 3}

${1, 2, 3}$ .

{3, 4, 5, 6, 7, 8, 9, 10} \cap {1, 2, 3}

${3, 4, 5, 6, 7, 8, 9, 10} \cap {1, 2, 3}$

Step 2

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

{3}

${3}$

Step 3

The two sets have an intersection therefore they are not mutually exclusive.

Not Mutually Exclusive

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