Linear Algebra Answers

[img]https://upload.cc/i1/2020/03/11/tJ8fX2.jpg[/img]



the digit number R is 4

[img]https://upload.cc/i1/2020/03/11/FeuSgt.jpg[/img]



the digit number R is 4

[img]https://upload.cc/i1/2020/03/11/FeuSgt.jpg[/img]



the digit number R is 4

Alice says the coordinate vector of 4 + t - t^2 is [ 4 1 −1 ]. Give a vector space V and a choice of basis B that would make Alice correct. Is there a choice of V and B that would make Alice incorrect?

Find a non-zero unit vector u with terminal point Q(-7,4,4) such that u has the opposite direction as v=(3,2,1)

Graph this equation by plotting three points: y = 3x - 2.


What are your points?

Where does your line cross the x-axis(write as an ordered pair, or if it is not a "nice" point, provide the two numbers it lies between)?

Where does your line cross the y-axis(write as an ordered pair)?

Is the origin on the right or left side of the line?

Find the orthogonal canonical reduction of the quadratic form -x²+y²+z²+xy+xz− 6

Find the orthogonal canonical reduction of the quadratic form
-x²+y²+z²+xy+xz-6yz
. Also, find its principal axes.

The Gaussian elimination method can only be applied for solving a system of 4
linear equations if the number of variables is 4. Is it true or false ? give reasons.

For the vector space P2,find the dual basis of {1+x,1+2x,1+x+x2}?