Write as a Vector Equality 2a+3b-3d=0 , a+2b+d=3 , a+3b+3d=7

Problem

{[2*a+3*b−3*d=0],[a+2*b+d=3],[a+3*b+3*d=7])

Solution

1. Identify the coefficients of the variables a b and d in each equation to form the column vectors.

2. Group the coefficients of a into a single vector:

([2],[1],[1])

3. Group the coefficients of b into a single vector:

([3],[2],[3])

4. Group the coefficients of d into a single vector:

([−3],[1],[3])

5. Identify the constants on the right side of the equations to form the resultant vector:

([0],[3],[7])

6. Combine these into a single vector equation by multiplying each variable by its corresponding coefficient vector.

Final Answer

a*([2],[1],[1])+b*([3],[2],[3])+d*([−3],[1],[3])=([0],[3],[7])

Want more problems? Check here!