Help me solve this question and please show the full steps on how you got the answer for learning purposes

Number 1, where will I put the yellow nutch on the graph, please show me in your drawing.

Show that the transformation T: R2>R2 that reflects points through the horizontal x1-axis and then reflects points through the line x2 =x1 is merely a rotation about the origin. What is the angle of rotation? (E If T: IR\" >iRm is a linear transformation, then there exists a unique matrix A such that the following equation is true. T(x) =Ax for all x in [Rn In fact, A is the m x n matrix whose jth column is the vector T(ej), where ej is the jth column of the identity matrix in R", as shown in the following equation. A: [T(e1) T(en)] Find A by transforming the columns of the identity matrix, e1 and e2. '2=l;?l~e1=lle2=i?l Reflect e1 through the horizontal x1-axis and then through the line x2 =x1t Let T: R2>|R2 be the linear transformation such that T(e1) and T(e2) are the vectors shown in the figure. Using the gure, sketch X2 the vector T(2,1). Q T(e1) )- T02) D X1 Choose the correct graph below. v3 8. t.) c. '3 D. X2 q X2 a X2 a X2 Q T(2,1) T(2,1) T01) Q T(2,1 Q Q T( ,1) 0' T 22) Tea E '3 T e 13' T e '3' x1 22 ' Q ' Q 1 1