Question about Determinants: Properties
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Determinants: Properties
Determinants: Properties
Difficulty Easy
Easy
(Originais Teachy 2023) - Question Easy of Mathematics
Let A be a 4x4 square matrix with a non-zero determinant. By analyzing the properties of determinants, we know that if a square matrix has a row or column of zeros, its determinant is equal to zero. Considering this information, explain why matrix A cannot have a row or column with all elements equal to zero, given that the determinant of A is non-zero.Answer sheet:
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Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices.
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