Question: Please, answer all the following questions: 7.2.2. Let L be the linear transformation represented by the matrix (:1) (1)). Show that L2 = L o

Please, answer all the following questions:

Please, answer all the following questions: 7.2.2. Let L be the lineartransformation represented by the matrix (:1) (1)). Show that L2 = Lo L is rotation by 180. Is L itself a rotation ora. reection? \f\f7.2.24. Find the matrix form of the linear transformation L(x,y) = _2x+ 3y 4y with respect to the following bases ofR2:\f3 2 2 7.2.25. Find the matrix form of L[x] = (31 3) x with Inspect to the following bases of R3: 1

7.2.2. Let L be the linear transformation represented by the matrix (:1) (1)). Show that L2 = L o L is rotation by 180. Is L itself a rotation or a. reection? \f\f7.2.24. Find the matrix form of the linear transformation L(x, y) = _2x+ 3y 4y with respect to the following bases of R2:\f3 2 2 7.2.25. Find the matrix form of L[x] = (3 1 3) x with Inspect to the following bases of R3: 1 2 0 \f

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