The cofactor expansion of detA down a column is equal to the cofactor expansion along a row.

The cofactor expansion of detA down a column is equal to the cofactor expansion along a row.

H
Asked by 2 years ago
240 points

In Exercises 39 and 40, A is an $n \times n$ matrix. Mark each statement True or False. Justify each answer.

a. The cofactor expansion of det A down a column is equal to the cofactor expansion along a row.
b. The determinant of a triangular matrix is the sum of the entries on the main diagonal.

The cofactor
hansel

Answered by 2 years ago
8.7k points

part a

True, the expansion along any row or column will give you the same determinant

part b

False, the determinant of a triangular matrix is the product of the entries on the main diagonal.

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