two math linear questions:

3. Let p be a prime number. Determine whether the matrix 13 7 E C: T 11 egg\" 3 3 T is invertible in the cases p = 2, p = 3 and p = 5r and compute if!\" if it exists. 4. Let 2 3 4 2 and r = Rang E. Find matrices T E G T4133: G} 3). {v} [Hint: First convert B into echelon form using elementary rovv operations1 then convert the resulting matrix into the form {it} using elemenary column operations. The matrix .5' is obtained by applying the column operations to I5 in the same order1 while the matrix T is obtained by applying the row operations to L. in reverse order_]