For problem 26, here are some definitions: S (for student) is a function that creates a sequence of real numbers between 0 and 1 noninclusive. Sis defined such that S(i,j), i andj both positive integers, is the j'th digit of theith real number in the sequence. The matrix represented by S is the infinite matrix whose i'th row is the sequence . So that matrix is s(1,1), 5(1,2),... S(2,1), 5(2,2),... S(3,1), S(3,2),... IfT (for "teacher") is a function from positive integers to digits 0-9, The sequence represented by T is defined as the sequence and respectively. M covers X1, but it does not cover X2. We say that T beats Sif the sequence T represents is not covered by the matrix S represents. Otherwise S beats T. 26. Give a T function that can be at any possible S, or in other words give a T function that cannot be beaten by an S. Additionally, explain why this T function shows that R (0,1) is not equinumerous with N For problem 26, here are some definitions: S (for student) is a function that creates a sequence of real numbers between 0 and 1 noninclusive. Sis defined such that S(i,j), i andj both positive integers, is the j'th digit of theith real number in the sequence. The matrix represented by S is the infinite matrix whose i'th row is the sequence . So that matrix is s(1,1), 5(1,2),... S(2,1), 5(2,2),... S(3,1), S(3,2),... IfT (for "teacher") is a function from positive integers to digits 0-9, The sequence represented by T is defined as the sequence and respectively. M covers X1, but it does not cover X2. We say that T beats Sif the sequence T represents is not covered by the matrix S represents. Otherwise S beats T. 26. Give a T function that can be at any possible S, or in other words give a T function that cannot be beaten by an S. Additionally, explain why this T function shows that R (0,1) is not equinumerous with N