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Popular >

simplify (x'x)^{-1}x'y

Solution

simplify

(x^{'} x)^{- 1} x^{'} y

Solution

\frac{y}{x}

Solution steps

(x^{'} x)^{- 1} x^{'} y

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{x x ^{^{'}}} x^{^{'}} y

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 x ^{^{'}} y}{x ^{^{'}} x}

Cancel the common factor:

x^{'}

= \frac{1 \cdot y}{x}

Multiply:

1 \cdot y = y

= \frac{y}{x}

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Frequently Asked Questions (FAQ)

What is (x'x)^{-1}x'y ?
The solution to (x'x)^{-1}x'y is y/x