[See Steps] Solve the following system -f_1+f_3+100-200=0 , f_1-f_2-f_4+150=0 , f_2+f_5-200+100=0 , -f_3+f_6-200+100=0 , f_4-f_6+f_7-100=0 , -f_5-f_7+150+100=0
Question: Solve the following system
\[\begin{aligned} & -{{f}_{1}}+{{f}_{3}}+100-200=0 \\ & {{f}_{1}}-{{f}_{2}}-{{f}_{4}}+150=0 \\ & {{f}_{2}}+{{f}_{5}}-200+100=0 \\ & -{{f}_{3}}+{{f}_{6}}-200+100=0 \\ & {{f}_{4}}-{{f}_{6}}+{{f}_{7}}-100=0 \\ & -{{f}_{5}}-{{f}_{7}}+150+100=0 \\ \end{aligned}\]
Deliverable: Word Document 
(See Steps) Determine whether the given matrices are linearly independent
(Step-by-Step) Use the Gauss-Jordan method to find the inverse of
(Step-by-Step) Find the orthogonal complement W^bot of W and give
![[Solution] The given vectors form a basis](/images/solutions/MC-solution-library-39635.jpg "[Solution] The given vectors form a basis for a subspace W of R^4.")
[Solution] The given vectors form a basis for a subspace W of R^4.
(Step-by-Step) Orthogonally diagonalize the matrices by finding
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