SOLUTION: Where are you looking if the indices i and j are equal in a square matrix? a. Along the middle row b. Along the middle column c. Along the diagonal from the upper left to the lo

Algebra ->  Equations -> SOLUTION: Where are you looking if the indices i and j are equal in a square matrix? a. Along the middle row b. Along the middle column c. Along the diagonal from the upper left to the lo      Log On


   



Question 152655: Where are you looking if the indices i and j are equal in a square matrix?
a. Along the middle row
b. Along the middle column
c. Along the diagonal from the upper left to the lower right
d. Along the diagonal from the lower left to the upper right

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Where are you looking if the indices i and j are equal in a square matrix?
a. Along the middle row
b. Along the middle column
c. Along the diagonal from the upper left to the lower right
d. Along the diagonal from the lower left to the upper right
0 solutions

Notice in the matrix:



the way the elements have subscripts, for instance,
a%5Bi%2Cj%5D=a%5B3%2C2%5D means the element where i=3 
and j=2.

The first subscript, which is denoted by i, is
the number of the row it's in and the second subscript,
which is denoted by j is the number of the column 
that it's in.



So picking out the elements where i and j are equal,
they are 
+a%5B1%2C1%5D+, +a%5B2%2C2%5D+, +a%5B3%2C3%5D+, and +a%5B4%2C4%5D+   

Notice they appear on the diagonal that goes from the upper
left corner to the bottom right corner.

So the answer is (c).

Edwin