Matrices And Algebra. Linear Transformation and Applications:Question # 3:Part: a:Vertices of a parallelogram on a computer screen are given by the coordinates (3, 0),(6, 0), (4, 2) & (7, 2). If this parallelogram is being transformed in given order1. x-scaling by factor 1/3 and y-scaling by factor 1/22. Translation of (1, -3)3. Clockwise rotation of 30°i. Write 3*3 matrices for each transformation. Representing the above parallelogram inform of data matrix, apply these transformations one by oneand drawtheparallelogram at each stepii. Find a single matrix for the composite transformation for above three transformations.Apply it to theparallelogram(data matrix)and draw it. Is it same with the oneobtained in part į at last step.Note: Deal all calculations with data matrix, not directly on the parallelogram. Linear Transformation and Applications:Question # 3:Part: b:Let T from R? to R? be a linear transformation that maps en into yı and maps e, intoy2 wheree2=yıFind the image of any x = in R2under T.Find the standard matrix of T?Find the range of T?

given vertices of a parallelogram 3,0 , 6,0 , 4,2 , 7,2 A=30604272

Linear Transformation and Applications: Question # 3: Part: a: Vertices of a parallelogram on a computer screen are given by the coordinates (3, 0), (6, 0), (4, 2) & (7, 2). If this parallelogram is being transformed in given order 1. x-scaling by factor 1/3 and y-scaling by factor 1/2 2. Translation of (1, -3) 3. Clockwise rotation of 30⁰ i. Write 3*3 matrices for each transformation. Representing the above parallelogram in form of data matrix, apply these transformations one by oneand drawthe