a b c e f g 10 1 7These three vectors form a basis for R3 if

[a [b [c

e f g

10], 1], -7],These three vectors form a basis for R^3 if and only if() not equal to 0? fill in the blank

Solution

ANSWER:TRUE( basis :linearly independent:determinant not equal to 0. )

EXPLANATION:

a set of elements (vectors) in a vector space V is called a basis, or a set of basis vectors, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set