TAMU MATH 140 FINAL EXAM GUIDE WITH COMPLETE
SOLUTION
singular matrix - -no inverse
-nonsingular matrix - -has an inverse
-identity matrix - -has 1's on the main diagonal, and every other entry is 0
ex. I2 - [1 0]
01
-depreciation rate - -absolute value
-Simplex Tableau rules - -pivot the most negative column in last row, find ratios by dividing the
the numbers in the last column by the pivot column, pick the smallest non-negative ratio, then
find the pivot element (number shared by the pivot row and pivot column)
-∩ (Intersection) - -means and (only what both share)
-U (union) - -means or (combine)
-F^c - -outcomes that are not F, the opposite
-mutually exclusive - -Events that cannot occur at the same time, A∩B = 0
-E(X) - -E(X) = x1p1+x2p2+.....xnpn
-fair game - -means the expected value of the player's net winnings is zero. (E(X)=0)
-open circle - -means (a, b) = a < x < b not including either endpoint
-closed circle - -means [a, b] = a __<_ x __<_ including both endpoints
-polynomial function - -
-revenue function selling price - -R(x)= (selling price)*x
-maximum revenue - -h= -b/2a
-find slope formula - -y2-y1/x2-x1
SOLUTION
singular matrix - -no inverse
-nonsingular matrix - -has an inverse
-identity matrix - -has 1's on the main diagonal, and every other entry is 0
ex. I2 - [1 0]
01
-depreciation rate - -absolute value
-Simplex Tableau rules - -pivot the most negative column in last row, find ratios by dividing the
the numbers in the last column by the pivot column, pick the smallest non-negative ratio, then
find the pivot element (number shared by the pivot row and pivot column)
-∩ (Intersection) - -means and (only what both share)
-U (union) - -means or (combine)
-F^c - -outcomes that are not F, the opposite
-mutually exclusive - -Events that cannot occur at the same time, A∩B = 0
-E(X) - -E(X) = x1p1+x2p2+.....xnpn
-fair game - -means the expected value of the player's net winnings is zero. (E(X)=0)
-open circle - -means (a, b) = a < x < b not including either endpoint
-closed circle - -means [a, b] = a __<_ x __<_ including both endpoints
-polynomial function - -
-revenue function selling price - -R(x)= (selling price)*x
-maximum revenue - -h= -b/2a
-find slope formula - -y2-y1/x2-x1
