Do the Vectors Span R3? | Linear Algebra Exercises

We determine if a given set of vectors spans R3 by setting up a matrix equation and determining if the coefficient matrix has a nonzero determinant. In one case, we find there is a nonzero determinant and so the system of equations is consistent for any vector in R3, and we have that the given set spans R3. In the other case, we will find R3 must contain vectors which are not a linear combination of the given vectors. #linearalgebra

Spanning Sets: (coming soon)

Linear Algebra course:    • Linear Algebra  
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