Examples of using Augmented matrix in English and their translations into Arabic
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I will create an augmented matrix.
So the augmented matrix would look like that.
So let me rewrite my augmented matrix.
There's my augmented matrix, now let's put this guy into reduced row echelon form.
So we didn't even have to write a big augmented matrix here.
So let's construct the augmented matrix for this system of equations.
And to solve this, and we have done this before,we're just going to put this augmented matrix into row echelon form.
What does this augmented matrix look like?
And the way you would solve it-- and we have done this many times, this was many videos ago--you would make an augmented matrix with this.
Let me rewrite my augmented matrix in the new form that I have.
But what I'm doing from all of these steps,I'm essentially multiplying both sides of this augmented matrix, you could call it, by a inverse.
Now, I want to get this augmented matrix into reduced row echelon form.
I can set up an augmented matrix where I put the identity matrix right there, just like that, and I perform a bunch of row operations.
And just like that, we have gotten the A part of our augmented matrix into reduced row echelon form.
If we call this augmented matrix, matrix A, then I want to get it into the reduced row echelon form of matrix A.
What I'm going to dois I'm going to solve it using an augmented matrix, and I'm going to put it in reduced row echelon form.
We just create an augmented matrix. So let's just create an augmented matrix right here. So we have a, b, c, d, and then we augment it with the identity in R2, so 1, 0, 0, 1.
And we know if we perform a series of row operations on this augmented matrix to get the left-hand side in reduced row echelon form.
And now I have my augmented matrix in reduced row echelon form.
And so when you when you go back to your--I guess when you go out of the augmented matrix world and rewrite it as a system, and you solve for it, and we did this in the.
So let's go back from the augmented matrix world and kind of put back our variables there.
If I'm solving the equation Ax is equal to b,I can essentially just create the augmented matrix, where I have the matrix A and I can augment it with b, and put this in reduced row echelon form.
Hopefully this at least gives you a decent understanding of what an augmented matrix is, what reduced row echelon form is, and what are the valid operations I can perform on a matrix without messing up the system.
And like the first video, where I talked about reduced row echelon form,and solving systems of linear equations using augmented matrices, at least my gut feeling says.
I'm going to keep row two the same this time, so I get a 0, 0, 1, minus 2,and essentially my equals sign, or the augmented part of the matrix.
What we do is we augment this matrix.
So if I just augment this matrix right here with b, so I write x, y, z.
The Committee used the information States submitted to augment their first report, supplemented by data garnered from official documents of each State available online, to create more accurate matrices for all reporting States.