linear dependence
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Last updated 7:26 PM on 5/7/25
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7 Terms
1
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If a matrix has more columns than rows, its columns are linearly dependent.
True
2
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Any set of vectors that includes the zero vector is linearly dependent.
True
3
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If the determinant of a square matrix is zero, its columns are linearly independent.
False
4
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Three vectors in ( \mathbb{R}^2 ) are always linearly dependent.
True
5
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A set of vectors is linearly independent if none of them can be written as a combination of the others.
True
6
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If the rank of a matrix is less than the number of columns, the columns are linearly independent.
False
7
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If a matrix has a column of all zeros, then its columns are linearly dependent.
True
Note 
Flashcards (57)