00:01
So for this question, we're asked to determine if a certain statement is true or false.
00:05
So if any row or any column of the determinant is multiplied by a non -zero number, will the value of the determinant remain unchanged, right? that's kind of what we have to determine.
00:18
So let's just go ahead and say we have this 2x2 matrix that's like 2, 3, 4, and 1, right? so we're going to go ahead and solve this, the determinant of this 2x2 matrix, and then we're going to go ahead and multiply this by a non -zero number.
00:36
Let's just say we want to multiply the top row.
00:41
So this row here, we're going to multiply that by, let's say, three.
00:46
So three times two is, we're going to go ahead and say three times two is six, and then we have three times three is nine, and then we have four and one.
00:55
So we're just going to multiply that top row by, a non -zero value by 3 in this case.
01:01
And so remember that the formula for, let's say, any 2 by 2 matrix, a, b, c, d, that's going to be equal to ad minus b -c...