Use Corollary 4 11 to decide if each matrix has an inverse Corollary 4 11 The inverse for a 2 Atilde 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 3 4 6...

Use Corollary 4.11 to decide if each matrix has an inverse. Corollary 4.11 The inverse for a

Question:

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)

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

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

See More Books

Question Posted: Jun 01, 2016 02:06 AM

See More Questions

Use the determinant to decide if each is singular or nonsingular. 4 2 (b) (a) (c) 2 1
(a) Evaluate each determinant, and (b) Use the determinant to decide whether each matrix has an inverse. Use technology in Problems. 1. 2. 3. 4. 1. 2. 4. -1 -2
Decide if each of these is an orthonormal matrix. (a) (b) (c) 1//2 -1//2 (-1/V2 -1/V2) -1//2 -1/V2 -1/V2
P Corporation acquired an 80% interest in S Corporation two years ago at an implied value equal to the book value of S. On January 2, 2017, S sold equipment with a five-year remaining life to P for a...
Is the price elasticity of supply usually larger in the short run or in the long run? Why?
Acme is the sole supplier of security systems in the product market and the sole employer of locksmiths in the labor market. The demand curve for security systems is given by P = 100 - Q, where Q is...
The Football Bowl Subdivision (FBS) level of the National Collegiate Athletic Association (NCAA) consists of over 100 schools. Most of these schools belong to one of several conferences, or...
Aunt Ethel's Fancy Cookie Company manufactures and sells three flavors of cookies: macaroon, sugar, and butter cream. The batch size for the cookies is limited to 1,000 cookies based on the size of...
(a) Recall that for neural networks with sigmoid activation functions of the form (z) 1 1 + exp(-z) the value of neuron k at layer / is computed as
Springsteen, Inc. is a large furniture manufacturer, located in Asbury Park, New Jersey. They sell to furniture wholesalers across the United States and internationally. Revenues last year exceeded...
Supply the intermediate steps in Example 4.9.
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...
A small plane is flying directly west with an airspeed of 30.0 m/s. The plane flies into a region where the wind is blowing at 10.0 m/s at an angle of 30 to the south of west. (a) If the pilot does...
Assuming that you could add the financials for Target and Kmart, what would be the return on equity for a merger of Target and Kmart? How does it compare with the ROE of Wal-Mart?
Water circulates inside the refrigerator cycle given below, determine: a) the COP, and b) the rate of heat absorption from the outside air (Q). 300 kPa x=0 Expansion valve OH M Condenser Compressor...
Laframboise du Lac Inc. spent $7 billion on stock repurchases last year and also issued dividends in the amount of $2 billion last year. Distributions of this type are expected to grow by 8% per year...
Harbor Realty had the following account balances taken from their adjusted trial balance for year ending Dec. 31, 20Y1: Depreciation Expense: $12,744 Fees Earned: $886,029 Rent Revenue: $62,731...
Identify two leadership or behavioral theories that were discussed by Bolman and Deal as relating to the human resource frame. Then cite and summarize for each identified theory one or more research...
For the following exercises, follow the steps to work with the arithmetic sequence a n = 3n 2 using a graphing calculator: Press [ MODE ] Select [ SEQ ] in the fourth line Select [ DOT] in the...
To help you become familiar with the accounting standards, this case is designed to take you to the FASBs Web site and have you access various publications. Access the FASBs Web site at...
Orthogonality and Subsets In Problems 1-3, find the subset of R3 that is orthogonal to the given vectors. Sketch the subsets in R3? 1. 2. 3. 101 101 101
Dot Products calculate the dot products of the vectors in Problems 1 - 3. Tell which pairs are orthogonal? 1. [2, 1] ( [- 1, 2] 2. [- 3, 0] ( [2, 1] 3. [2, l, 2] [3, - 1, 0]
Lengths Show that the distance between the heads of any two vectors uÌ and vÌ, as shown in Fig. 3 . 1 .5, has length ||uÌ - vÌ ||. Ce FIGURE 3.1.5 Diagram for Problem 82
Estimate the final temperature in Celsius of the combination if I drop 5 rolls of pennies at 2 0 C ( each roll is 5 0 pennies stacked together; assume they are pure copper ) into a cup of recently -...
A 100 gram mass is hung of then end of a cantilever beam . The beam is made of brass, and is 30 cm long (), 2 cm wide, and 3 mm thick. Find the resulting deflection ()
The nitrogen-vacancy (NV) and silicon-vacancy (SiV) defects in diamond can lead to many exciting quantum nanotechnologies in physical and biological sciences, including single-photon sensors,...

Use Corollary 4.11 to decide if each matrix has an inverse. Corollary 4.11 The inverse for a

Question:

a b c d d -b ad bcc a 4 3 0 2 3 -4 6

Step by Step Answer:

a Yes it has ...View the full answer

Linear Algebra

Students also viewed these Linear Algebra questions