Write as a Vector Equality -3x+4y=0 , x-3y=0

Problem

{[−3*x+4*y=0],[x−3*y=0])

Solution

1. Identify the coefficients of the variables x and y in each equation of the system.

2. Represent the system as a linear combination of vectors by grouping the coefficients of x into one vector and the coefficients of y into another vector.

3. Set the sum of these scaled vectors equal to the vector containing the constants from the right-hand side of the equations.

Final Answer

x*[[−3],[1]]+y*[[4],[−3]]=[[0],[0]]

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