Linear Algebra Examples

Find the Domain AnB=c
Step 1
Divide each term in by and simplify.
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Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
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Step 1.2.1
Cancel the common factor of .
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Step 1.2.1.1
Cancel the common factor.
Step 1.2.1.2
Rewrite the expression.
Step 1.2.2
Cancel the common factor of .
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Step 1.2.2.1
Cancel the common factor.
Step 1.2.2.2
Divide by .
Step 2
Set the denominator in equal to to find where the expression is undefined.
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Divide by .
Step 4
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation: