This is a draft cheat sheet. It is a work in progress and is not finished yet.
Matrices
Matrix Manipulations AT: Transpose of A - Switch Rows with Columns (R1 becomes C1, R2 becomes C2 etc.) |
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-A = -1 . A |
A-1: Inverse of A |
A-1 . I = I = A . I |
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Augment Identity matrix to matrix and perform Guass-Jordon elimination on both to get change Identity matrix to the Inverse. |
EROs: Switch Rows Scale Row (Multiply entire row) Add multiple of different row to another |
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A matrix A is in row echelon form if |
1. The nonzero rows in A lie above all zero rows (when there is at least a nonzero row and a zero row). 2. The first nonzero entry in a nonzero row (called a pivot) lies to the right of the pivot in the row immediately above it |
2. The first nonzero entry in a nonzero row (called a pivot) lies to the right of the pivot in the row immediately above it |
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Linear Functions
Slope-Intercept Formula: y=mx+b |
Point-Slope: y-y1=m(x-x1) |
Slope Formula: (m)=rise/run OR m=(y2-y1)/(x2-x1) |
Standard Form: Ax + By = C |
Note that b is equal to y, the b value is where the line crosses on the y-axis when x is equal to zero
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Systems of Equations
Break-Even Point: (Fixed cost)/(Price/Unit - Variable cost) |
Equilibrium Point: Qs = Qd, Supply=Demand |
Systems of Equations
Break-Even Point: (Fixed cost)/(Price/Unit - Variable cost) |
Equilibrium Point: Qs = Qd, Supply=Demand |
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