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Pre-Calc definitions
Pre-Calculus
| Term | Definition |
|---|---|
| dot product | Measures how much two vectors point in the same direction |
| magnitude | the "length" of a vector |
| linear dependence | iff there is a singular scalar that multiplies to make them equal |
| linear independence | iff no scalar multiple makes them equal |
| square matrix | has an equal number of rows and columns ( n x n ) |
| diagonal matrix | a square matrix where the only elements that aren't 0 are on the diagonal |
| lower triangle matrix | a matrix where all elements are below the diagonal |
| upper triangle matrix | a matrix where all elements are above the diagonal |
| matrix addition | add two matrices of the same n x n size by the corresponding elements |
| scalar multiplication | you multiply scalar "a" to every element in matrix "A" |
| matrix transposition | swapping a matrix's rows and columns |
| matrix multiplication | you can do this if the number of columns in the first matrix is equal to the number of rows in the second matrix (park the car) |
| trace | the sum of all of the diagonal elements |
| inverse matrices | a square matrix that when multiplied by the original matrix, you get the identity matrix |
| determinant | a scalar value found by applying the determinant function to a matrix |
| non singular matrix | if its determinant is not zero (invertible) |
| singular matrix | if its determinant is zero (non invertible) |
Created by:
scarlettabobetta