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Find the determinants in Exercises 5–10 by row reduction to echelon form.$$\left|\begin{array}{lll}{3} & {3} & {-3} \\ {3} & {4} & {-4} \\ {2} & {-3} & {-5}\end{array}\right|$$

$-24$

Algebra

Chapter 3

Determinants

Section 2

Properties of Determinants

Introduction to Matrices

McMaster University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

02:39

Find the determinants in E…

03:51

Combine the methods of row…

02:13

Evaluate the determinants.…

03:28

01:18

Find a row echelon form fo…

00:44

Compute the determinants i…

00:53

02:06

Find the reduced row echel…

00:50

okay. In this question, you want to find the determinant by a reduction. So the first thing that we'll do is we'll take right to anyone minus one. You said that into her, too. So that's 33 months. Three. So 04 monastery gives you one minus four minus ministry using one. This one and this one remains unchanged. Let us live, then. If we factor out the three, we get 1111 It's your 111 two minus three minus five. Okay, at the next step will take is row two and your mind is too tough. One. And he said that interview it too, without giving you 111100 mornings. One book Michigan last three. This is so this is, uh then minus three. Minus two. Gives him honest fly and minus five plus two. Gives him negative three. What is the one now? The next? That we'll do is we'll take Row three and add Biotech will go to And we said that Integrate three. That gives the metrics. Want one. Modest one 01 minus 100 on DDE. Negative. Three minus five. That's native eights. What was that no effect throughout the negative eight. So there'll be eight and three years of 24. 11 amongst one is your one minus 100 and one. Now the turn it off. This thing is even to one. This is exactly 24 times on one. It's just a name, too.

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