00:01
In this question, we are given a transformation t1 from r squared to r -raise to par 4, and a transformation t2 from r -to -par -4 to r -square, such that t -1 is given by x1, x2 is equal to 2x1, x1 minus x2, negative of 3 tenth x2, x1 plus 5x2, and t2 is given by x1, x2, x3, x4 is equal to x1 plus x2, x3 plus x4.
00:56
Now, using these transformations for the first subpart, we need to obtain the value of t2 of t1, that is t2 of t1 of x1 x2.
01:16
Now let us supply the transformation t1, we get p2 of 2 x1, x1 minus x2, negative of 3x2, x2, x1 plus 5 x2.
01:34
Now further apply the transformation t 2 on this matrix.
01:42
We get, we need to obtain x1 plus x2, that is first term plus second term.
01:48
This gives 2x1 plus x1 minus x2 and then third term plus 4 term, that is this plus this.
01:58
It gives negative of 3x2 plus x2 plus x1 plus 5x2.
02:06
For the adding and subtracting we get 3x1 minus x2 over x1 plus 2x2...