The determinant of given matrix is zero
Step-by-step explanation:
Given matrix is:
[tex]\left[\begin{array}{ccc}1&4&4\\5&2&2\\1&5&5\end{array}\right][/tex]
The determinant of a 3x3 matrix is calculated by selecting a single row.
We are choosing the first row.
So,
[tex]= 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[/tex]
The determinant of given matrix is zero
Keywords: Matrices, determinant
Learn more about matrices at:
- brainly.com/question/9720317
- brainly.com/question/9621364
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