Question about Determinants: Properties
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Determinants: Properties
Determinants: Properties
Difficulty Very Hard
Very Hard
(Originais Teachy 2023) - Question Very Hard of Mathematics
Let A be a 5x5 matrix such that the determinant of A is 1. If we replace the second row of A with the sum of the first row and the third row, the determinant of the new matrix formed will be 2 times the determinant of the original matrix. Considering this information and the fact that the determinant of A^t, the transpose of A, is equal to the determinant of A, answer: What is the determinant of the matrix A^2 (A squared)?Answer sheet:
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