Final answer:
To find t(u1) and t(u2), we need to multiply the given matrix a with the vectors u1 and u2 respectively.
Step-by-step explanation:
In this problem, we are given a matrix a and two vectors u1 and u2. We need to find the results of applying the function t(x) = ax to u1 and u2. Given that a = 3 2 -4 6, u1 = -3 -2, and u2 = 1 -5, we can find t(u1) and t(u2) by multiplying the matrix a with the vectors u1 and u2 respectively.
To find t(u1), we multiply the matrix a with the vector u1:
t(u1) = a * u1 = (3 2 -4 6) * (-3 -2) = (-3*3 + 2*(-2) - 4*(-3) + 6*(-2)) = (-9 - 4 + 12 - 12) = -13.
To find t(u2), we multiply the matrix a with the vector u2:
t(u2) = a * u2 = (3 2 -4 6) * (1 -5) = (3*1 + 2*(-5) - 4*1 + 6*(-5)) = (3 - 10 - 4 - 30) = -41.