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Short Trick - Determinant LTM & UTM Video Lecture - Civil Engineering (CE)

FAQs on Short Trick - Determinant LTM & UTM Video Lecture - Civil Engineering (CE)

1. What is the short trick for calculating the determinant of a Lower Triangular Matrix (LTM)?

Ans. The short trick for calculating the determinant of an LTM is to simply multiply all the elements on the main diagonal and get the product.

2. How can I calculate the determinant of an Upper Triangular Matrix (UTM) using a shortcut?

Ans. To calculate the determinant of a UTM, you can also multiply all the elements on the main diagonal and obtain the product.

3. Are the determinants of LTM and UTM always the same?

Ans. Yes, the determinants of LTM and UTM matrices are always the same. This is because both types of matrices have their non-diagonal elements equal to zero, resulting in the determinant being the product of the diagonal elements.

4. Can I use the short trick for calculating determinants of non-triangular matrices?

Ans. No, the short trick for determining the determinant of LTM and UTM matrices only applies to matrices with triangular structure. For non-triangular matrices, you need to use other methods such as cofactor expansion or row operations.

5. Is it necessary to use the short trick for calculating determinants of LTM and UTM?

Ans. No, using the short trick is not necessary, but it can save time and effort when dealing with triangular matrices. However, it's important to understand the underlying concepts and methods for calculating determinants to handle more complex matrices accurately.

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Sep 04, 2025 Last updated

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