Trimester 3, 2022 Task 1: Matrices - Inverses Find the inverse of each of the following matrices if they exist. If they do not exist, explain why. 1. [$2 49 ] 2. 9 2 Task 2: Simultaneous equations Sakae and Pritika each bought the same pens and the same notebooks, but in different quantities. Sakae bought 4 pens and 2 notepads and paid $13. Pritika bought 8 pens and I notebook and paid $8. What was the cost per pen and the cost per notebook? 1. Express this problem as a pair of linear equations. 2. Solve this pair of simultaneous equations using matrices. Show all working including the working used to find the inverse of the matrix. Explain why you find the matrix method easier or harder than using elimination or substitution methods (1-2 sentences ). Task 3: Quadratics For the quadratic function y = -x2 - 3x - 9: . Find the r-intercepts and y-intercept . Find the station ary point by completing the square (show all working). . State whether they are a local maximum or local minimum (Hint: use the sign of the a coeffi- cient ) . Sketch the graph clearly identifying all the above elements. Task 4: Cubics Find the r-intercepts and y-intercepts of the cubic y = (x - 3) (x] - 14)