Question

If it is, exhibit a linear combination of the first four vectors which equals this vector, using as few vectors as possible in the linear combination:

a) Vector addition
b) Scalar multiplication
c) Span of vectors
d) Basis vectors

Answer 1

To exhibit a linear combination of the first four vectors that equals a given vector, use vector addition and scalar multiplication.

Step-by-step explanation:

In this question, we are asked to exhibit a linear combination of the first four vectors that equals a given vector, using as few vectors as possible in the linear combination. To do this, we can use vector addition and scalar multiplication. Let's say the four vectors are v1, v2, v3, and v4, and the given vector is v. We can write the linear combination as:

v = av1 + bv2 + cv3 + dv4

where a, b, c, and d are scalars. By finding the values of a, b, c, and d, we can express the given vector as a linear combination of the four vectors.