A school recorded the numbers of male and female students enrolled in Physics, Chemistry and Biology for two consecutive years.
Year 2023: Physics 35 males, 25 females; Chemistry 28 males, 30 females; Biology 22 males, 26 females.
Year 2024: Physics 38 males, 29 females; Chemistry 25 males, 32 females; Biology 27 males, 24 females.
(i) Represent the enrolments for each year as a 2×3 matrix with rows in the order (Male, Female) and columns in the order (Physics, Chemistry, Biology).
(ii) Determine the matrix that shows the change in enrolment from 2023 to 2024.
a. (i) Matrices for 2023 and 2024
b. (ii) Change matrix (2024 − 2023)