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In Exercises $33-36,$ verify that det $E A=(\operatorname{det} E)(\operatorname{det} A),$ where $E$ is the elementary matrix shown and $A=\left[\begin{array}{cc}{a} & {b} \\ {c} & {d}\end{array}\right]$$$\left[\begin{array}{ll}{1} & {0} \\ {k} & {1}\end{array}\right]$$

the property det $( E A ) = ( \operatorname { det } E ) ( \operatorname { det } A )$

Algebra

Chapter 3

Determinants

Section 1

Introduction to Determinants

Introduction to Matrices

Missouri State University

McMaster University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

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01:56

In Exercises $33-36,$ veri…

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02:11

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Verify that det $A B=(\ope…

06:05

(a) If $A=\left[\begin{arr…

00:56

Assume that $A$ and $B$ be…

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Compute the determinants o…

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If $A=\left[\begin{array}{…

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In Exercises $1-4$a. G…

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Find (a) $\operatorname{de…

Okay, so we want to verify That's determinant off E a secretive determinant off e Taiba. Determinants off, eh? So first figuring out what e times is we have one times a plus zero times. See? Excuse you, eh? One times B plus zero times the which gives you be and K Time's a plus one time see, which gives you a k A plus c and then you have keytones B plus one times D, which gives you K B plus d. So then the determinants off e A. It's simply a became be rusty. One isn't b a k a pussy, which is K A B plus 80 Marchioness k a b plus B c this term cattles at this time. So you're left with a D minus. BC now taking the tenements. All these disability, we get it's evidence. Oh, he's even to a D morning specie. The Turners off e is equal to one times one giving you one k time or minus by Kate. I'm zero excuse zero. This is one. So then determinant. Oh, aye. Was by 10 minutes off e years, even to a d on a species, which is the exact same as taking the tone int off, Peter

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In mathematics, the absolute value or modulus |x| of a real number x is its …

In Exercises $33-36,$ verify that det $E A=(\operatorname{det} E)(\operatorn…

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