Question

If element 16 is in the second row and third column (denoted as a_ij), what are the values of i and j?

Matrix A =11 12 13
14 15 __
16 17 18
19 __ __
a) i = 2, j = 3
b) i = 3, j = 2
c) i = 2, j = 2
d) i = 3, j = 3

Answer 1

Element 16 is in the second row and third column (denoted as a_ij), so the values of i and j are i = 2 and j = 3, corresponding to answer option (a).

Step-by-step explanation:

If element 16 is in the second row and third column of matrix A, denoted as a_ij, where i is the row number and j is the column number, then to find the values of i and j we need to locate the position of the element 16 within the given matrix structure. Assuming that the matrix A is formatted properly (with each new row beginning immediately after the previous one ends), based on the description, element 16 falls into the second row and third column indicating that i = 2 and j = 3. Hence, the correct answer is (a) i = 2, j = 3.