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: 66% (18 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...
-
Preparing a cash flow statement using the indirect method is like being an accounting detective. Discuss this view. L01
-
Anticorrosive behavior of steel coated with epoxy. Organic coatings that use epoxy resins are widely used for protecting steel and metal against weathering and corrosion. SUFFOLK EPOXY Researchers at...
-
Mainland Resources Inc. began operations on June 5, 2014. Journalize the following equity transactions that occurred during the first month ofoperations: 2014 5 Gave 4,000 common shares to the...
-
Protective disclosure and informative disclosure are two types of disclosures as interpreted by the: Group of answer choices a.FTC. b.FASB. c.AICPA. d.SEC.
-
Richard chooses technique 0 and 2 requiring 10+10-20 efforts and provising 10+11=21 benefits. Hence, 21 is returned as the output Example 2: input1: 3 input2: (10,10,10,10) input3: (10,11,12,15)...
-
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.
-
Which of the following compounds will react with HBr more rapidly? CH3 CH CH2 orCH3O 1- CH CH
-
Sample grade point averages for ten male students and ten female students are listed. Males 2.4 3.7 3.8 3.9 Females 2.8 3.7 2.1 3.9 2.8 2.6 3.6 3.3 4.0 1.9 3.6 4.0 2.0 3.9 3.7 2.3
-
Fill in the columns in the following table. What quantity should a profit-maximizing firm produce? Verify your answer with marginal reasoning. 9 0 1 2 3 st 4 5 6 TFC $5 5 5 5 5 5 5 TVC $0 3 5 9 16 25...
-
Perform the experiments in Problems 48-51, tally your results, and calculate the probabilities (to the nearest hundredth). Flip three coins simultaneously 100 times, and note the results. The...
-
The following information is available for Spring Inc. and Winter Inc. at December 31, 2011: Required a. What is the accounts receivable turnover for each of the companies for 2011? b. What is the...
-
Margin of error = 0.5 g, standard deviation = 8.7 g
-
An aluminosilicate is composed of a crystal in which Al atoms substitute for three-fourths of the Si atoms in the silica structure. The negative charge of the AlO 2 groups is balanced by Na + ions....
-
Prairie Outfitters, Inc., a retailer, accepts paymnent through credit cards. During August, credit card sales amounted to $12,000. The processor charges a 3% fee. Assuming that the credit card...
-
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...
-
The tolal landed coet with the order gaantly sire of 6,000 unts is 4 (Enter your response roundod to the nearest dolar)
-
Boyne Inc. had beginning inventory of $12,000 at cost and $20,000 at retail. Net purchases were $120,000 at cost and $170,000 at retail. Net markups were $10,000, net markdowns were $7,000, and sales...
-
Apple inc. CONDENSED CONSOLIDATED BALANCE SHEETS (Unaudited) (In milions, except number of shares which are reflected in thousands and par value) LABILITES AND SHAREHOLDERS' EQUITY: Current...
Study smarter with the SolutionInn App