Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Let $A$ and $B$ be $4 \times 4$ matrices, with det $A=-3$ and $\operatorname{det} B=-1$ . Compute:$\begin{array}{lll}{\text { a. } \operatorname{det} A B} & {\text { b. } \operatorname{det} B^{5}} & {\text { c. } \operatorname{det} 2 A} \\ {\text { d. } \operatorname{det} A^{T} B A} & {\text { e. } \operatorname{det} B^{-1} A B} & {}\end{array}$

a. 3b. $=-1$c. $-48$d. $-9$e. $-3$

Algebra

Chapter 3

Determinants

Section 2

Properties of Determinants

Introduction to Matrices

Campbell University

Oregon State University

McMaster University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

02:12

Let $A$ and $B$ be $4 \tim…

01:29

00:47

02:38

00:50

01:44

03:30

Suppose that $A$ and $B$ a…

01:54

okay. In this question, they want us to Catholic. Various determinants using determined off A's 93. The tenants will be is negative one and a b r a b awful. Therefore, major cities, it's official tournaments off, baby, we can sell records out 10 minutes off, eh? 10 minutes. I'll be so, which is negative? Three has a negative one, which is one be determinant. 085 So this is simply to be determined O b plus 5 to 5, which is native one the fire, which is disconnected one. So to understand that, wise to the fire or you simply do is he simply continually take out the fire every time Basically, performance step five times Would this be And you get the 10 minutes off beat fifth native 1 to 5, determined off to a oh, to A is equal to 22 to the engine. In this case is for determinants off, eh? Which is children? Four is potent force their 16. It's a negative. Three. Six am Street is 24. So negative 54 determinant all a transpose b A. So this is determined off a transfers tells my determines will be I have a determinant away now determined off a transpose is just simply determinant off a. So it's native three. That's why negative one negative three, which is negative. Night it terminals. Oh, be in verse a B. If you haven't done this earlier in the earlier questions, you can figure out that did term you. This is eager to determines all. Hey, this is just simply determined. Okay, which is negative story. You don't know the reason why it doesn't exercise earlier on in the other questions and you can see why this is

View More Answers From This Book

Find Another Textbook

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

Let $A$ and $B$ be $4 \times 4$ matrices such that $\operatorname{det}(A)=5$…

Suppose that $A$ and $B$ are $4 \times 4$ invertible matrices. If $\operator…

01:08

In Exercises $7-14$ , cither use an appropriate theorem to show that the giv…

02:43

Given subspaces $H$ and $K$ of a vector space $V,$ the sum of $H$ and $K,$ w…

02:03

Use Exercises $25-28$ to answer the questions in Exercises 31 and $32 .$ Giv…

08:27

Prove Theorem 3 as follows: Given an $m \times n$ matrix $A,$ an element in …

05:33

In Exercises 19 and 20, V is a vector space. Mark each statement True or Fal…

01:41

In Exercises $19-24,$ explore the effect of an elementary row operation on t…

06:03

For each subspace in Exercises 1–8, (a) find a basis, and (b) state the dime…

00:44

00:41

In Exercises 19–24, justify each answer or construction.What is the rank…

03:42

In Exercises 7–10, determine the values of the parameter s for which the sys…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.