Is it possible to solve this linear algebra question by SageMath?
Given column vectors v1=[1,1,3], v2=[1,0,-2] and v3=[a,3,3].
Question: for what value of a, the vector v3 is in the span of v1 and v2?
Thank you in advance.
Determinant of the matrix formed by the given vectors must be zero, which gives an algebraic equation for a:
R.<a> = PolynomialRing(QQ)
v1=[1,1,3]
v2=[1,0,-2]
v3=[a,3,3]
eq = Matrix([v1,v2,v3]).det()
print(eq.roots(multiplicities=False))Asked: 2 years ago
Seen: 273 times
Last updated: Dec 21 '22
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