A First Course in Linear Algebra · Problem B.C40

Vector Spaces — Robert Beezer

Mathematics — Linear Algebra · basis-row-space

Problem

From Example RSB, form an arbitrary (and nontrivial) linear combination of the four vectors in the original spanning set for WW. So the result of this computation is of course an element of WW. As such, this vector should be a linear combination of the basis vectors in BB. Find the (unique) scalars that provide this linear combination. Repeat with another linear combination of the original four vectors.

Related theory

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