Recall: "If and only if" two directions. Given n vectors V₁,..., V, it is possible to write one of the vectors as a lin- ear combination of the other n - 1 vectors if and only if there exist scalars C1,..., Cn, not all zero, such that Vi+c2+…+CV=0

Solve the following vector equation: 2 5 +4-4-6-7 x1-2+x2 3 +. -3 24 x1 = x2 = x3= How to enter the solution: If the value of a variable is a number, just enter the number. •If the value of a variable is a formula involving free variables, enter the formula. For example, if you obtain that x₁ = 1-2x2 +3x3 where x2 and x3 are free, then as the value of x1 you should enter 1 - 2*x_2 + 3*x_3 . Use the underscore to indicate subscripts of variables, and to indicate multiplication. - . If a variable is a free variable, enter the variable name as its value. For example, if x2 is a free variable, then you should enter X-2 as the value of x2. If the system has no solutions enter None as the value of one of the variables. In such case you can leave values of the remaining variables blank.

This is a Linear Algebra problem. Please explain each step clearly, no cursive writing.

Hello. Please answer the attached Linear Algebra question correctly and completely. Please show all of your work. *If you answer the question correctly and show all of your work, I will give you a thumbs up. Thanks.