Question

Use determinants to decide if the set of vectors is linearly independent. [ -2, -3, 5 ], [ 1, 4, -2 ], [ -2, 0, -4 ] The determinant of the matrix whose columns are the given vectors is [ ]. (Simplify your answer.) Is the set of vectors linearly independent? A. The set of vectors is linearly dependent, because the determinant exists. B. The set of vectors is linearly independent, because the determinant exists. C. The set of vectors is linearly independent, because the determinant is not zero. D. The set of vectors is linearly dependent, because the determinant is not zero.

          Use determinants to decide if the set of vectors is linearly independent.

[ -2, -3, 5 ], [ 1, 4, -2 ], [ -2, 0, -4 ]

The determinant of the matrix whose columns are the given vectors is [ ].
(Simplify your answer.)

Is the set of vectors linearly independent?

A. The set of vectors is linearly dependent, because the determinant exists.
B. The set of vectors is linearly independent, because the determinant exists.
C. The set of vectors is linearly independent, because the determinant is not zero.
D. The set of vectors is linearly dependent, because the determinant is not zero.

Use determinants to decide if the set of vectors is linearly independent.

[ -2, -3, 5 ], [ 1, 4, -2 ], [ -2, 0, -4 ]

The determinant of the matrix whose columns are the given vectors is [ ].
(Simplify your answer.)

Is the set of vectors linearly independent?

A. The set of vectors is linearly dependent, because the determinant exists.
B. The set of vectors is linearly independent, because the determinant exists.
C. The set of vectors is linearly independent, because the determinant is not zero.
D. The set of vectors is linearly dependent, because the determinant is not zero.

Added by Aaron W.

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