Use the concept of volume to explain way the determinant of a 3 ( 3 matrix A

Question:

Use the concept of volume to explain way the determinant of a 3 ( 3 matrix A is zero if and only if A is not invertible. Do not appeal to Theorem 4 in Section 3.2. [Think about the columns of A.]

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: 978-0321791542

4th edition

Authors: David C. Lay

See More Books

Question Posted: May 02, 2016 12:02 PM

See More Questions

Use the concept of the linear approximation to a function (Section 2.9) to explain the geometric interpretation of l'Hopital's Rule in the marginal box next to Theorem A?
The A. J. Swim Team soon will have an important swim meet with the G. N. Swim Team. Each team has a star swimmer (John and Mark, respectively) who can swim very well in the 100- yard butterfly,...
Use Gauss's Method to find each determinant. 1000 0111 0101 12-11
Be able to explain how land policy shaped economic growth in the United States.
The retail price of a medium-sized box of a well-known brand of cornflakes ranges from $2.80 to $3.14. Assume these prices are uniformly distributed.What are the average price and standard deviation...
Beta Corporation is in the process of completing a contract to produce 150 units for a given customer. The contract consisted of R&D, testing and qualification, and full production. The industrial...
What is the beat frequency of two motors, side by side, at 3,585 and 3,580 rpm, respectively?
Life cycle product costing. Intentical Inc., manufactures game systems. Intentical has decided to create and market a new system with wireless controls and excellent video graphics. Intenticals...
You are the HR Manager of a rapidly expanding technology company that acquired a smaller tech firm 2 years ago. Both companies had maintained low turnover rates in their respective call centers prior...
The Terminus Hotel, a 200-room facility located in a medieval city in Southern Spain. As consequence of poor management and old-fashioned interior design. the hotel experienced slumping demand since...
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 4, 0), (-2, -5, 2), and (-1, 2, -1)?
Let T : Rm Rn be a linear transformation, and let p be a vector and S a set in Rm. Show that the image of p + S under T is the translated set T(p) + T(S) in Rn?
A heated cylinder at 450 K and 2.5 cm in diameter is placed in an atmospheric airstream at 1 atm and 325 K. The air velocity is 30 m/s. Calculate the heat loss per meter of length for the cylinder.
Hs business is in financial difficulties and he offers the bank a mortgage on the family home which is in his wifes name. What precautions should the bank take when having the wife sign the contract?...
What else, apart from physical destruction of the subject matter of a contract, can result in frustration of the contract?
Describe the role of novation in the purchase of a going business.
Is substantial hardship in performing sufficient to excuse a promisor from performing? Explain.
What is the distinction between unascertained goods and future goods?
What control problem does decentralization create in organizations?
Write a paper about how diet relates to breast cancer in women study design to use: case control study purpose & rationale the purpose of this final project is to utilize the methods and...
Compute the determinants of the elementary matrices Examples 5 and 6. Data from in Examples 5 and 6 0 0 1 0 1 0 1 0 0
Use determinants to find out if the matrix is invertible. 4 3 1 -4 52 2 0 1 3
Concern determinants of the following Vandermonde matrices. Use row operations to show that det V = (x 2 - x 1 )(x 3 - x 1 )(x 3 - X 2 )| T 1 a b C a b c V(t) = 1 1 1 1 X1 x X2 X3 to X 13
Image transcription text Wind tunnel measurements of the pressure and skin friction around a NACA 2415 airfoil at 8 degrees angle of attack resulted in the following data of pressure and skin...
Image transcription text The following table contains load-extension data from a tensile test on a cylindrical specimen with gauge length 9mm and gauge diameter 5mm. Load-extension Data Load [KN] 0...
Image transcription text Systems Modelling and Analysis - Assignment 1 Due: Friday 25/08/2022 by 5:00:00 pm. To be submitted individually on Canvas and Gradescope. Part 1: Dartboard Positioning...

Use the concept of volume to explain way the determinant of a 3 ( 3 matrix A

Question:

Step by Step Answer:

The Invertible Matrix Theorem says that a 3 3 matrix A is not invertible if and only if its ...View the full answer

Linear Algebra and Its Applications

Students also viewed these Linear Algebra questions