Determinants of Matrices
This lesson covers how to find the determinant of a 2x2 matrix using cross multiplication. It also explains the determinant of a 3x3 matrix using Kramer's rule and the co-factor technique.
- 18:26 “called the Kramas root or what's called the Saros root to solve it or it also is the inverse root to solve it. So, we have this example, A, is given us, let's say, okay, before we do this, let's see the example on the se...”
- 04:03 “A 12, A 22, A 32, A 32. And they're A 13, A 12, sorry, A 23, and A 33. So, we pick the first value or the first position. And the rest of that, we say that is equal to plus A 11, determinants, A 22, A 32, and the A 23, A...”
- 11:17 “So, after getting that, we now subtract the other aspects, minus, we have this, that means we have 1 times 3 times 0, okay, plus, we have another one, 1 times 1 times 1, 1 times 1, and the next one is a plus, 1 times 4 t...”
Introduction to Operations Research
This lesson defines operations research and explains its application in management, industry, and business. It covers the steps involved in solving problems using mathematical models and discusses different types of models used in operations research.
- 22:02 “Or we call it a matrix reduced method. We observe that the table we have above-- you see that this is-- we have the row, the first row, second row, the fourth row. You can see this is the four by four matrix. You can see...”
- 23:44 “This is a, we have, so the first step is, we subtract the minimum entry of each row, the each we have the row, the first row, 8, each row from all the entries of the row, and check if there's at least one zero in each ro...”
- 25:23 “and the fourth row also has at least 1, 0 entry, now let's look at the column as well, the column has at least 1, 0 entry, the second column also has at least 1, 0 entry, at least 1, 0 entry, it can't be 2, but the last...”