Search for question
Question

\text { 1. Let } \mathbf{v}_{1}=\left[\begin{array}{l} 4 \\ 2 \end{array}\right] \text { and } \mathbf{v}_{2}=\left[\begin{array}{c} 1 \\ -3 \end{array}\right] \text {. Draw these vectons in } \mathbf{R}^{2} \text { and

then calculate and draw the following } linear combinations (a) 3v1+2v2 (b) 2v1 – V2 (c) 3v2 (d) What is the span of the vectors vị and v2? (e) Would the vector equation xịv1 + x2V2 = b be consistent for any b in R²? Why or why not?

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5