Question

Show that w is in the subspace of $$R^4$$ spanned by $$v_1$$, $$v_2$$, and $$v_3$$, where these vectors are defined as follows. $$w = \begin{bmatrix} -4 \\ 2 \\ 20 \\ 10 \end{bmatrix}$$ $$v_1 = \begin{bmatrix} 8 \\ -4 \\ -5 \\ 7 \end{bmatrix}$$ $$v_2 = \begin{bmatrix} -3 \\ 2 \\ -4 \\ -6 \end{bmatrix}$$ $$v_3 = \begin{bmatrix} -9 \\ 5 \\ -9 \\ -18 \end{bmatrix}$$ To show that w is in the subspace, express w as a linear combination of $$v_1$$, $$v_2$$, and $$v_3$$. The vector w is in the subspace spanned by $$v_1$$, $$v_2$$, and $$v_3$$. It is given by the formula $$w = \text{ ( ) } v_1 + \text{ ( ) } v_2 + \text{ ( ) } v_3$$. (Simplify your answers. Type integers or fractions.)

          Show that w is in the subspace of $$R^4$$ spanned by $$v_1$$, $$v_2$$, and $$v_3$$, where these vectors are defined as follows.
$$w = \begin{bmatrix} -4 \\ 2 \\ 20 \\ 10 \end{bmatrix}$$
$$v_1 = \begin{bmatrix} 8 \\ -4 \\ -5 \\ 7 \end{bmatrix}$$
$$v_2 = \begin{bmatrix} -3 \\ 2 \\ -4 \\ -6 \end{bmatrix}$$
$$v_3 = \begin{bmatrix} -9 \\ 5 \\ -9 \\ -18 \end{bmatrix}$$
To show that w is in the subspace, express w as a linear combination of $$v_1$$, $$v_2$$, and $$v_3$$.
The vector w is in the subspace spanned by $$v_1$$, $$v_2$$, and $$v_3$$. It is given by the formula $$w = \text{ ( ) } v_1 + \text{ ( ) } v_2 + \text{ ( ) } v_3$$.
(Simplify your answers. Type integers or fractions.)

show that w is in the subspace of r4 spanned by v1 v2 and v3 where these vectors are defined as follows w beginbmatrix 4 2 20 10 endbmatrix v1 beginbmatrix 8 4 5 7 endbmatrix v2 beginbm 42196

Added by Susana S.

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