In an economics text we find the following system:
Solve for , and dp. In your answer, you may refer to the determinant of the coefficient matrix as D. (You need not compute D.) The quantities and D are positive, and a is between zero and one. If is positive, what can you say about the signs of and dp?
If and Dare positive, is between 0 and 1, and is positive, then and are also positive.
In matrices, Cramer's rule expresses the solution in terms of the determinants of the coefficient matrix (i.e., for a square matrix) and of matrices obtained from it by replacing one column by the column vector of right-hand-sides of the equations.
Now, using Cramer's rule, we solve:
If and D are positive, is between 0 and 1 and is positive, then and dp are also positive.
94% of StudySmarter users get better grades.Sign up for free