Write as a Vector Equality

Problem

{[1/x+2/y−4/z=1],[2/x+3/y+8/z=0],[−1/x+9/y+10/z=5])

Solution

1. Identify the variables in the system of equations as the reciprocals 1/x 1/y and 1/z

2. Extract the coefficients from each equation to form a coefficient matrix A

3. Define the variable vector v and the constant vector b from the right-hand side of the equations.

4. Construct the vector equality by multiplying the coefficient matrix by the variable vector and setting it equal to the constant vector.

Final Answer

[[1,2,−4],[2,3,8],[−1,9,10]]*[[1/x],[1/y],[1/z]]=[[1],[0],[5]]

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