00:01
In this problem, we are given the orders of certain matrices, and we need to determine how many rows and columns, a, b transpose, times c plus d, e, times f.
00:16
Now, to determine the number of rows and columns this has, we need to determine the order.
00:23
Now, it is said that a is a scalar.
00:25
So whatever is the order of this, that will be the order of a times this entire thing.
00:31
So it's sufficient to just determine the order of this.
00:38
So we have c to be of order 2 by 7.
00:44
And if we have d .e, b is given to be 2 by 5 and e is given to be a 5 by 7 matrix.
00:55
And if we multiply these two matrices, then the resulting matrix will have the order 2 by 7.
01:03
So that means that this matrix de, the order of de will be 2 by 7.
01:11
And if we add two matrices of order 2 by 7, we end up with a 2 by 7 matrix.
01:17
So that means that the order of c plus de, this is 2 by 7.
01:22
Now let us consider the order of f...