### Question Description

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

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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.

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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**

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

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5.(4 pts) Let’s say that we have two *boundary conditions* for the above generic equation; this means that the other two elements in **y**, *look*** like** variables, but are not variables; rather, these are called “what”?

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**Consider this polynomial for the next 4 questions:** f(xi) = c0 + c1x1 + c2x2 + ××× + c10x10

6.(3 pts) How many distinct **variables** are there in f(xi)? *Just type in a number*

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7.(4 pts) How many distinct **unknowns** are there in f(xi)? *Just type in a number*

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8.(5 pts) Regarding your answer to #8, how many unique boundary conditions are required to define the values of f(xi)’s unknowns? *Just type in a number*

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9.(4 pts) What is the ‘value’ of the *y-intercept* for f(xi), **if it can be defined**; if it cannot be defined, then type in **CBD**.

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1.(2 pts) How do we know if an equation is linear by just looking at the equation? Answer Here ® 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. Answer Here ® 3.(3 pts) True/False: Let ; z1 is linear. Answer Here ® For the next 2 questions, consider this simple equation: y = mx + b 4.(3 pts) List below just one of the two variables in the equation. Answer Here ® 5.(4 pts) Let’s say that we have two boundary conditions for the above generic equation; this means that the other two elements in y, look like variables, but are not variables; rather, these are called “what”? Answer Here ® Consider this polynomial for the next 4 questions: f(xi) = c0 + c1x1 + c2x2 + ××× + c10x10 6.(3 pts) How many distinct variables are there in f(xi)? Just type in a number Answer Here ® 7.(4 pts) How many distinct unknowns are there in f(xi)? Just type in a number Answer Here ® 8.(5 pts) Regarding your answer to #8, how many unique boundary conditions are required to define the values of f(xi)’s unknowns? Just type in a number Answer Here ® 9.(4 pts) What is the ‘value’ of the y-intercept for f(xi), if it can be defined; if it cannot be defined, then type in CBD. Answer Here ®

**https://papertowrite.com/wp-content/uploads/2020/04/New-logo-300x62.png 0 0 admin https://papertowrite.com/wp-content/uploads/2020/04/New-logo-300x62.png admin2022-02-22 14:56:112022-02-22 14:56:11Applied Linear Algebra 1**