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sveticcg [70]
3 years ago
14

Evaluate the determinant for the following matrix: 1 4 4 5 2 2 1 5 5

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0
A Laplace expansion along the first row gives

\begin{vmatrix}1&4&4\\5&2&1\\1&5&5\end{vmatrix}=1\begin{vmatrix}2&1\\5&5\end{vmatrix}-4\begin{vmatrix}5&1\\1&5\end{vmatrix}+4\begin{vmatrix}5&2\\1&5\end{vmatrix}
=1(10-5)-4(25-1)+4(25-2)
=1
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Step-by-step explanation:

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Find the altitude of an equilateral triangle whose perimeter is 18
Rainbow [258]

Answer:

3√3 units

Step-by-step explanation:

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Now we know that in a equilateral triangle , the altitude of the triangle with side length a is ,

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\rm\implies Altitude =\dfrac{\sqrt 3}{2} a  \\\\\rm\implies Altitude =\dfrac{ \sqrt3}{2}\times 6  \\\\\rm\implies Altitude = \sqrt3 \times 3  \\\\\rm\implies\boxed{ \bf Altitude = 3\sqrt3 \ units }

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