Evaluate the determinant of the matrix.$\begin{vmatrix}2&-1&3\\5&0&7\\0&-6&-4\end{vmatrix}=$|2 −1 35 0 70 −6 −4|=​

Question

Evaluate the determinant of the matrix.$\begin{vmatrix}2&-1&3\\5&0&7\\0&-6&-4\end{vmatrix}=$|2 −1 35 0 70 −6 −4|=​
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Solution 1

To calculate the determinant of a 3x3 matrix, we can use the rule of Sarrus.

First, we write down the matrix and copy the first two columns to the right of the matrix:

2 -1 3 2 -1 5 0 7 5 0 0 -6 -4 0 -6

Then, we multiply the elements of the diagonals going from the top left to the bottom right a 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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