could some one explain and help me with this. 7. Consider the vectors, v1?=?12?1??,v2?=?151??,v3?=?1?1?3??,v4?=?21?4??. Note: The matrix formed from them can be row-reduced to RREF as follows: ?12?1?151?1?1?3?21?4????100?010?2?10?3?10?? (a) Are v1?,v2?,v3? and v4? linearly independent? If yes, then explain why they are independent. If no, then give

Question

could some one explain and help me with this.

$7. Consider the vectors, \( v_{1}=\left[\begin{array}{c}1 \\ 2 \\ -1\end{array}\right], v_{2}=\left[\begin{array}{l}1 \\ 5 \\$

7. Consider the vectors,

v_{1} = 12 ? 1, v_{2} = 151, v_{3} = 1 ? 1 ? 3, v_{4} = 21 ? 4

. Note: The matrix formed from them can be row-reduced to RREF as follows:

12 ? 1 151 1 ? 1 ? 3 21 ? 4 ? 100010 2 ? 1 0 3 ? 1 0

(a) Are

v_{1}, v_{2}, v_{3}

and

v_{4}

linearly independent? If yes, then explain why they are independent. If no, then give a linear relation among them. (b) Is

v_{3}

in the span of

v_{1}

and

v_{2}

? If yes, then write

v_{3}

in terms of

v_{1}

and

v_{2}

. If no, then explain why

v_{3}

is not in the span of

v_{1}

and

v_{2}

. (c) Describe the span of

{v_{1}, v_{2}, v_{3}, v_{4}}

geometrically. Be as specific as possible in your description.

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Expert Answer to - could some one explain and help me with this. 7. Consider the vectors, v1=121,v2=

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Solution for - could some one explain and help me with this. 7. Consider the vectors, v1=121,v2=

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This an additional answer to - could some one explain and help me with this. 7. Consider the vectors, v1=121,v2=

(Solved): could some one explain and help me with this. 7. Consider the vectors, v1=121,v2= ...