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Please help me to slove these simple question of linear algebra with some brief explanation

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1.  (2 pts) How do we know if an equation is linear by just looking at the equation?

A hyperplane has the equation: z = s1x1 + s2x2 + s3x3 + … + s0 ‘ si represent the slopes of the plane in the respective xi-directions, while s0 represents the z-intercept.

2. (4 pts) True/False: Based on the above, all planes, z, are linear.

3. (3 pts) True/False: Let ; z1 is linear.

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For the next 2 questions, consider this simple equation: y = mx + b

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4. (3 pts) List below just one of the two variables in the equation.

4. (4 pts) Let’s say that we have two boundary conditions for y above; this means that the other two elements in ylook like variables, but are not such; in the context of this course, these are called “what”?

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