Linear Algebra Examples

$\frac{a c}{c b} = \frac{3}{2}$

Step 1

Cancel the common factor of $c$ .

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Step 1.1

Cancel the common factor.

$\frac{a c}{c b} = \frac{3}{2}$

Step 1.2

Rewrite the expression.

$\frac{a}{b} = \frac{3}{2}$

Step 2

Multiply both sides by $b$ .

$\frac{a}{b} b = \frac{3}{2} b$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $b$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{a}{b} b = \frac{3}{2} b$

Step 3.1.1.2

Rewrite the expression.

$a = \frac{3}{2} b$

Step 3.2

Simplify the right side.

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Step 3.2.1

Combine $\frac{3}{2}$ and $b$ .

$a = \frac{3 b}{2}$

Step 4

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 5