Suppose A and B are n x n matrices and a computer suggests that det A =

Question:

Suppose A and B are n x n matrices and a computer suggests that det A = 5, det B = 2 and det AB = 7. Should you trust these answers? Why or why not?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

See More Books

Question Posted: May 02, 2023 06:44 AM

See More Questions

Suppose A is an n x n matrix and a computer suggests that det A = 5 and det (A -1 ) = 1. Should you trust these answers? Why or why not?
Suppose that A and B are n n matrices and A is invertible. Invent and prove a theorem that describes how the row spaces of AB and B are related.
Justify each answer. Assume that all matrices here are square. (T/F) If A and B are n x n matrices, with det A = 2 and det B = 3, then det(A + B) = 5.
In a survey of 1,002 people, 701 (or 70%) said that they voted in the last presidential election (based on data from ICR Research Group). The margin of error was 3 percentage points. However, actual...
How are FICA taxes calculated? Is it possible to overpay them? If your answer is yes, what should you do?
Would it be possible for a company to report negative free cash flow and still be highly valued by investors; that is, could a negative free cash flow ever be viewed optimistically by investors?...
3. Sun Corporation, a 75 percentowned subsidiary of Pam Corporation, sells inventory items to its parent at 125 percent of cost. Inventories of the two affiliates for 2016 are as follows: Pam Sun...
Rick and Maria had been married for 20 years before their divorce in the current year. At that time, they made the usual property settlement: Maria got the house, the van, and the cat; Rick got the...
Deer Corp. issued 5 . 5 % fifteen - year bonds payable with a face amount of $ 4 0 , 0 0 0 when the market interest rate was 5 . 5 % . Deer's fiscal year - end on December 3 1 . The bonds pay...
Station 3's coffee fund is $12; the total amount in station 3's expense fund is $48. What percent of the total fund goes towards coffee?
Janice Morgan, age 32, is single and has no dependents. She is a freelance writer. In January 2013, Janice opened her own office located at 2751 Waldham Road, Pleasant Hill, NM 88135. She called her...
Is it true that det(A + B) = det A + det B? Experiment with four pairs of random matrices as in Exercise 48, and make a conjecture. Data from in Exercise 48 Is it true that det AB = (det A) (det B)?...
In May 2012, Edward paid 350,000 to buy a 20-year lease on a flat. In November 2020 he granted a 5-year sub-lease on the flat to Petronella for 150,000. The flat was never Edward's principal private...
Task 2 In addition to the report produced for Task 1, the SMT have asked that you produce a short presentation, (minimum of 2 slides per bullet point), to help ensure that employees handle, store and...
Real solutions for x 2 = 5 ( x + 3 6 0 ) ?
1) Two-stage compressor with irreversibilities = You need to build a two-stage compression system with intercooling to increase the pressure of Argon (monatomic gas, constant specific heat) from pi...
A tightrope is connected at each end to a vertical tree trunk at a height of 1.57 meter above the ground. The two trees are located a distance 5.00 meters apart. At the midpoint of the tightrope, a...
A missing order occurs when a maximum of the two-slit diffraction pattern lines up with the minimum of the single slit diffraction pattern. Adjust the parameters of the simulation to create a...
The headlines in the list appeared in The Wall Street Journal. Classify each headline as a signal that the news article is about a micro economic topic or a macroeconomic topic. Explain your answers....
Given that all the choices are true, which one concludes the paragraph with a precise and detailed description that relates to the main topic of the essay? A. NO CHANGE B. Decades, X-ray C. Decades...
For children with two affected ears, test the hypothesis that responses to the study medications for the first and second ears are independent?
What method of analysis can be used to compare the proportion of adverse events between cases and controls? Hospital Epidemiology Death of a patient in the hospital is a high-priority medical...
Implement the method suggested in Problem 10.63, and report a two-tailed p-value? Hospital Epidemiology Death of a patient in the hospital is a high-priority medical outcome. Some hospital deaths may...
A zero-coupon bond bears a higher interest rate risk than a coupon-paying bond, given other bond characteristics are equal. True False
Company management decided to restructure its balance sheet. Current long term debt of 8 mio euros will be increased to 20 mio euros. Interest for the debt is 4%. Borrowed 12 mio euros will used to...
Susan loans 10000 to Jim. Jim repays the loan with yearly instalments at the end of each year. Interest is expected to be 5% the first five years, and 10% the last five years. Calculate the...

Suppose A and B are n x n matrices and a computer suggests that det A =

Question:

Step by Step Answer:

Since det A det B ...View the full answer

Linear Algebra And Its Applications

Students also viewed these Mathematics questions