Evaluate the determinant of the matrix.$\begin{vmatrix}1&0&5\\6&2&0\\3&8&9\end{vmatrix}=$|1 0 56 2 03 8 9|=​

Question

Evaluate the determinant of the matrix.$\begin{vmatrix}1&0&5\\6&2&0\\3&8&9\end{vmatrix}=$|1 0 56 2 03 8 9|=​
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Solution 1

The determinant of a 3x3 matrix can be calculated using the formula:

det(A) = a(ei−fh)−b(di−fg)+c(dh−eg)

where: a, b, c are the entries of the first row, d, e, f are the entries of the second row, g, h, i are the entries of the third row.

For the given matrix, we have:

a = 1, b = 0, c = 5, d = 6 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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