Mathematics II20765 marksNumerical: span conditionVector equations
For what value of h will y be in span v1, v2, v3 if v1, v2, v3 and y are given as:
For what value of h will y be in span ${v_1, v_2, v_3}$ if $v_1, v_2, v_3$ and y are given as:
$$v_1 = \begin{bmatrix} 1 \ -1 \ -2 \end{bmatrix}, \quad v_2 = \begin{bmatrix} 5 \ -4 \ -7 \end{bmatrix}, \quad v_3 = \begin{bmatrix} -3 \ 1 \ 0 \end{bmatrix}, \quad \text{and } y = \begin{bmatrix} -4 \ 3 \ h \end{bmatrix}$$
[5]
$$v1 = \begin{bmatrix} 1 \ -1 \ -2 \end{bmatrix}, \quad v2 = \begin{bmatrix} 5 \ -4 \ -7 \end{bmatrix}, \quad v3 = \begin{bmatrix} -3 \ 1 \ 0 \end{bmatrix}, \quad y = \begin{bmatrix} -4 \ 3 \ h \end{bmatrix}$$ $y \in \text{Span}{v1, v2, v3}$ if and only if $x1 v1 + x2 v2 + x3 v3 = y$ is...