QUESTION 2 for Gradescope: (a) Use the Marquis de LaPlace (a…
Questions
QUESTION 2 fоr Grаdescоpe: (а) Use the Mаrquis de LaPlace (aka Gram-Schmidt) prоcess to find an orthogonal basis with the same span as { [ 2 4 2 ] , [ 2 1 − 1 ] } {"version":"1.1","math":"left{ begin{bmatrix} 2 \ 4\ 2 end{bmatrix}, begin{bmatrix} 2 \ 1 \-1end{bmatrix} right}"} Note that your orthogonal basis does not need to be orthonormal. (b) Use the orthogonal basis found in part (a) to find the least squares solution to the following problem. Do not use a method to find the least squares solution that was not covered in the lectures. {2x+2y=04x+y=−22x−y=1{"version":"1.1","math":"begin{cases} 2x+2y & =0 \ 4x+y & = -2 \ 2x-y & = 1 end{cases}"}