TRUE OR FALSE? All lower triangular matrices are diagonalizable (over C).
1/17/18 Lecture Parametric Equations It is difficult to represent an arbitrary curve with traditional functions y = f(x) or x = g(y). We create a new method to represent such a curve, by using parametric equations. We represent x and y in terms of a third variable (t, theta, etc.). We must also specify bounds of our parameter, in this case t. Our bounds can be positive and negative infinity (representing no bounds on t). Bounds can be used to restrict a curve to end at specific points. Graphing parametric equations Method 1: Table. - Create a table of values for t, x, and y. T X Y 1 3 5 0 1 4 1 1 5 2 3 9 We can then plot the points (x,y) on our graph and sketch our curve. It has a direction of motion, a positive direction that r