1. Solve the matrix equation 4π³ββ¬=π³β¬+2π if π=(β2141), β¬=(71β72).

The matrix equation 4π³ββ¬=π³β¬+2π can be solved using the following steps:

1. Multiply both sides of the equation by the inverse of 4π³, resulting in (4π³)^-1(4π³ββ¬)= (4π³)^-1(π³β¬+2π).

2. Simplify the left-hand side of this equation to 1 β (4^-1)(β¬)=(4^-1)( π₯ β¬ + 2 π¨).

Β Solve the matrix equation 4π³ββ¬=π³β¬+2π if π=(β2141), β¬=(71β72).

3. Substitute in the values for β¬ and π¨, which give us 1 β (-0.25)(71 β 72) =(-0.25)(-2141 + 72).

4. Simplify this expression to 0.75 = 54, giving us our solution x = 54/0.75=72.
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