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vodka [1.7K]
3 years ago
14

What is the determinant of 1518154

Mathematics
1 answer:
IgorC [24]3 years ago
6 0

Answer:

The determinant is 15.

Step-by-step explanation:

You need to calculate the determinant of the given matrix.

1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):

\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]

2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):

\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]

3. Expand along the row 2: (See attached picture).

We get that the answer is 15. The determinant is 15.

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