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3 3 LVL I P 23 L 3 L 1 8 L 0 1 2 1 8~1? 2...

Question

3 3 LVL I P 23 L 3 L 1 8 L 0 1 2 1 8~1? 2

3 3 LVL I P 23 L 3 L 1 8 L 0 1 2 1 8 ~1? 2



Answers

$\left[ \begin{array}{rrr}{-3} & {1} & {0} \\ {0} & {-3} & {1} \\ {4} & {-8} & {2}\end{array}\right]$

Okay. We call about major modification here. When doing major modification. We want to do the rows of the first college by the time the Rose the first matrix by the column of the second matrix for each respective positions. So, for example, if it was the first row, first column is the first broken, the first color. If it was the first for a second column, if you first were against a second, call him. So that's what he's out here with. You first were against one out of three, and we get three. Top minus one by to say, three minus two is just one. Still, there are first rate second column here. You've got Mom minus two of the three tons. Three cells going minus. Tick on. Then you've got two times. One set. First right. Second column, say a plus to say this is gonna come out zero. Okay, Right now you've got the second. What have we got here? We're gonna go if you get a second race. There's column. Yeah. So you've got three launched. The one minus three minus 33 lakhs minus one equals zero. So zero here on, then you've got secondary second column minus two. I have three types. Er to over three. XB minus two or three times won't pastorate. So we actually with identity here s so these two should be actually in verses off each other. What you'll probably find is the determinant is, um 1/3. Yeah, it's 1/3. So all of these divide by three. And then when we do our in verses, you switch these around, which does not do anything on your time to use by minus one, so yeah.

So in this problem we're given this five x 5 matrix And were asked to use a matrix calculator, luckily in order to determine or find the determinant. All right, because you can do this by hand. I might be a little difficult. You can probably pick Grow four here and you know avoid two of the calculations. But then you're gonna still be left with four x 4 Matrix sees and working those ways where's goes down. So this can be a lot quicker. So we go over here to the new matrix. In our matrix calculator. We went to Desmond's dot com math tools matrix calculator to get this. And our matrix is a five by five. I gotta get this thing built up here, the framework of it five by five. and so the first entry is a three and then a minus two A four three. You know, one, Then a 1-0 -1 zero 2102 on Euro. And then 5 -15. My ass. One 032 zero three, two Than 4 7 -8. 4 seven. Mine it's eight and zero zero. And then we have 123 one two three 02 zero two chris Sanders. So that's all in there. Now I need the determinant of this Five by five. So I go d et determinant of A And there it is 410. That was a lot quicker and a lot easier. And trying to do this all out my hand, wasn't it

Yeah. Hello. So in our given function um the Y value of negative three corresponds to two 2, 2 different x values um namely here negative three corresponds the X values of one and and four. So therefore it is not a 1-1 function Right? It's not 1-1. And since the function is not 1-1, it does not have mm have an inverse.

This video, We're gonna go to the answer. A question of a 13 from Chapter nine White three for us to find the inverse off. The matrix minus two minus one 210 31 minus four. So let's combine this with the identity matrix once there is, There is there were once they were serious, they were What? Yeah. Reduce. So that's that three altitude of the first row to the bottom room. So that's going to go to zero. Ah, mine is 1/2 minus one ad for you, too, is 1/2. I want us to be over twos to you too. Keep a zero and one. And let's also add one of the first road to the second round. Get rid of this too. We're all scared of this wall. Uh, this becomes a wall 10 Top row stays the same minds to you. Minus one. Ah, whoa! 100 Next up, less subtract one of the middle row from Sapporo. So that's gonna be minus two minus one zero. Uh zero minus one zero. Minimo stays the same. 0011 What? Zero. That's also most black bottom are about to but zero minus 11 302 Next up, let's subtract one of the middle row from the bomber. That's gonna be zero minus one. That's zero at three months. Ones, too. They're minus one minus. Y T minus zero is too. Keep the middle. Where was it? Is seriously, Rabban. War hero. And keep the top roses minus two minus one. They were. They were minus one zero. Okay, let's subtract one of the bottom row from the top room. So I'll get rid of this month's one at zero minus two is minus two minus one minus 110 Uh, zero minus two is much too, kid made about the same there. Is there a woman? Rome on zero on dhe bomber. We can multiply by one, get zero. What? Zero. So most by my minus 1010 too, because minus two minus one equals one. T because minus two. Now, what we can do is most by the top row by minus, huh? It's gonna be born zero zero. Whoa, zero. What? Now you'll see that the form two rows. Uh, if we just flip these around, which you can do it, bro. production on. Then we get the I don't see a downside. So 010 That's what was the bottom room minus 21 minus two in the middle ground, which is not about tomorrow. 001 Well, zero on Dhe. This matrix here is the inverse off the matrix that we started with.


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