Eco manufactures laptop computers. Eco sold one of its compu…

Eco manufactures laptop computers. Eco sold one of its computers to a distributor called Dco. In turn, Dco sold the computer to Wco, a wholesaler, who then sold the computer to a retailer, Rco. Pat purchased the computer the computer from Rco and took it home. Pat used the computer in his bedroom and left the computer turned on and laying on a blanket on top of his bed when he went to the kitchen to make lunch. Upon returning to the bedroom after having his lunch, Pat found both the computer and the blanket on his bed on fire. Pat unplugged the computer and then grabbed another blanket lying nearby and managed to beat out the fire. However, in the process, Pat’s hands and arms were burned. In addition, Pat’s bed sustained heavy damage and had to be replaced. Later investigation revealed that Eco had inadvertently used an incorrect electrical component in making the computer. This caused the computer to overheat and start the fire. Discuss.

QUESTION 2 for Gradescope: (a) Use the Marquis de LaPlace (a…

QUESTION 2 for Gradescope: (a) Use the Marquis de LaPlace (aka Gram-Schmidt) process to find an orthogonal basis with the same span as { , } {“version”:”1.1″,”math”:”\left\{ \begin{bmatrix} 2 \\ 4\\ 2 \end{bmatrix}, \begin{bmatrix} 2 \\ 1 \\-1\end{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}”}