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amid [387]
3 years ago
12

Evaluate the determinant for the following 1 4 4] 5 2 2 1 5 5

Mathematics
1 answer:
Travka [436]3 years ago
7 0

The determinant of given matrix is zero

Step-by-step explanation:

Given matrix is:

\left[\begin{array}{ccc}1&4&4\\5&2&2\\1&5&5\end{array}\right]

The determinant of a 3x3 matrix is calculated by selecting a single row.

We are choosing the first row.

So,

= 1\left|\begin{array}{ccc}2&2\\5&5\\\end{array}\right|-4\left|\begin{array}{ccc}5&2\\1&5\\\end{array}\right|+4\left|\begin{array}{ccc}5&2\\1&5\\\end{array}\right|\\=1(10-10) -4(25-2)+4(25-2)\\=0-4(23)+4(23)\\=-92+92\\=0

The determinant of given matrix is zero

Keywords: Matrices, determinant

Learn more about matrices at:

  • brainly.com/question/9720317
  • brainly.com/question/9621364

#LearnwithBrainly

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