Write as a Vector Equality 4sa+5b=5 , 8a+3sb=-2

Problem

{[4*s(a)+5*b=5],[8*a+3*s(b)=−2])

Solution

1. Identify the variables and constants in the system of linear equations. The variables are a and b while s() is a scalar parameter.

2. Rewrite each equation as a linear combination of the vectors formed by the coefficients of a and b

3. Group the coefficients of a into one vector and the coefficients of b into another vector.

4. Form the vector equality by setting the sum of these scaled vectors equal to the vector of constants from the right-hand side of the equations.

Final Answer

a*([4*s()],[8])+b*([5],[3*s()])=([5],[−2])

Want more problems? Check here!