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(Solved): Express the indicated vector w as a linear combination of the given vectors v1,v2, and v3 ...
Express the indicated vector w as a linear combination of the given vectors v1,v2, and v3 if this is possible. If not, show that it is impossible. w=⎣⎡−488⎦⎤,v1=⎣⎡2−14⎦⎤,v2=⎣⎡301⎦⎤,v3=⎣⎡14−1⎦⎤ Select the correct answer below, and fill in the answer box(es) to complete your choice. A. It is impossible to express the vector w in terms of v1,v2, and v3, because an echelon form of the augmented matrix A=[v1v2v3w],E=, shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.) B. It is possible to express the vector w in terms of v1,v2, and v3, as w=∣∣v1+∣v2+∣∣v3. (Type integers or fractions.)