Show that a 2 Ã 2 matrix (a) Nonsingular if and only if ad - bc 0.
Question:
(a) Nonsingular if and only if ad - bc 0.
(b) Regular if and only if ad - bc 0 and α 0.
Transcribed Image Text:
A-C )is 4
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (16 reviews)
a Suppose A is nonsingular If a 0 and c 0 then we subtract ca times the first row from ...View the full answer
Answered By
Navashree Ghosh
I believe in quality work and customer satisfaction. So, I can assure you that you will get quality work from me when you hire me. Let's work together and build a long-term association.
4.90+
82+ Reviews
116+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
An n à n matrix A is nonsingular if and only if the reduced row echelon form of A is I (the identity matrix). In this case answer true if the statement is always true and false otherwise. In...
-
Use Corollary 4.11 to decide if each matrix has an inverse. Corollary 4.11 The inverse for a 2 Ã 2 matrix exists and equals if and only if ad - bc 0. (a) (b) (c) a b c d d -b ad bcc a 4 3 0 2...
-
For each invertible matrix in the prior problem, use Corollary 4.11 to find its inverse. Corollary 4.11 The inverse for a 2 Ã 2 matrix exists and equals if and only if ad - bc 0. a b c d d -b...
-
Division S of ABC Company makes a part that it sells to other companies. Data on that part appear below: Selling price on the intermediate market $30 per unit Variable costs per unit $22 per unit...
-
A management consultant is hired by a manufacturing firm to determine the best site for its next production facility. The consultant has had several meetings with the companys senior executives...
-
Your boss wants you to transfer from headquarters in Columbus, Ohio to the firms Moscow, Russia office. Youre pretty sure youre suited to work abroad, but to be sure you decide to write a short essay...
-
Use the wine quality data in Table B. 11 to construct a regression model for quality using the stepwise regression approach. Compare this model to the one you found in Problem 10.4, part a. Data From...
-
Maxim Air Filters Inc. plans to borrow $300,000 for one year. Northeast National Bank will lend the money at 10 percent interest and requires a compensating balance of 20 percent. What is the...
-
The Exchange Rate Volatility (ERV) and Trade Balance (TB) relationship by using monthly data over the period January 2010 to December 2019 and a nonlinear regression model, namely the Nonlinear...
-
Allie has bought a new apple orchard. The orchard has a single file of trees, numbered from 1 to N. Each tree has a certail number of ripe apples. Allie has a rule she wants to follow. She wants to...
-
Find the equation z = ax + by + c for the plane passing through the three points p1 = (0, 2,-1), P2 = (-2,4,3), p3 = (2, -1, -3).
-
Explain why the solution to the homogeneous system Ax = 0 with nonsingular coefficient matrix is x = 0.
-
Lee Company started the period with cash of $22,000, common stock of $12,000, and retained earnings of $10,000. Lee engaged in the following transactions in 2013: Transaction During 2013 1. On...
-
what are the theories of environmental management in urban planning ?
-
Novak Enterprises owns the following assets at December 31, 2025. Cash in bank-savings account $67,800 Checking account balance $22,500 Cash on hand 8,710 Postdated checks 850 Cash refund due from...
-
Give a comprehensive plan for addressing urban sprawl in current times.?
-
How does urban planning improves the quality of life? 2. Discuss the difference between regional planning and urban planning. 3. Give 10 examples of Construction Safety. 4. Explain the factors that...
-
A financial relationship includes both ownership and investment interests, along with compensation arrangements that include contractual arrangements between a ____________________ and...
-
A Carnot engine with H 2 O as the working fluid operates on the cycle shown in Fig. 8.2. The H 2 O circulation rate is 1 kgs 1 . For T H = 475 K and T C = 300 K, determine: (a) The pressures at...
-
Kims Konstructions has assembled the following data for a proposed straw-reinforced brick maker (SRBM): SRBM Cost: $26,000 Life: 5 years Revenue (p.a.) $11,000 Operating Expenses (p.a.) $3,000...
-
A certain plant species has either red, pink, or white flowers, depending on its genotype. If you cross a pink plant with any other plant, the probability distribution of the offspring is prescribed...
-
Let , c R. Solve the affine or inhomogeneous linear iterative equation Discuss the possible behaviors of the solutions. Write the solution in the form u (k) = u + (k) , where u is the equilibrium...
-
(a) Explain why the wavelet expansion (9.136) defines a linear transformation on Rn that takes a wavelet coefficient vector c = (c 0 , c 1 , . . . , c n1 ) T to the corresponding sample vector f = (f...
-
How does the implementation of a centralized database system impact the efficiency and data accuracy in a large retail organization?
-
Identify some processes related to a workplace, assess the benefits and concerns that may arise as a result of the relative sizes of P-time with respect to D-time. In a table include the benefits and...
-
industry competitors and customers analysis & develop a communications pla. Choose any company and analyze its industry, competitors and customers. Then either present theirs communications plan or...
Study smarter with the SolutionInn App