Let A and B be 2 Ã 2 matrices and let (a) Show that det(A + B)
Question:
(a) Show that det(A + B) = det(A) + det(B) + det(C) + det(D).
(b) Show that if B = EA then det(A + B) = det(A) + det(B).
Transcribed Image Text:
D-I 12 a21 a22
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 55% (9 reviews)
a If d detA B then d a 11 b 11 a 22 b 22 a 21 b 21 a 12 b 12 a 11 a 22 a 11 b ...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Let A and B be invertible n n matrices. Evaluate: det(A-1B-1AB)
-
Let A and B be similar matrices and let A be any scalar. Show that (a) A - 1 and B - l are similar. (b) det(A - l)=del(B - l).
-
Let A and B be n à n matrices and let M be a block matrix of the form Use condition (b) of Theorem 1.4.2 to show that if either A or B is singular, then M must be singular. A C M = O B B
-
Many areas have attempted to increase the amount of recycled waste lubricating oil by requiring service stations to serve as collection centers or by instituting deposit-refund systems. On what...
-
Calculate NewBanks ROE and final balance sheet, including its tax liabilities.
-
Does your list of 10 products include items with components that are both domestically made and foreign made? Demography is the study of the structure of human populationstheir size, age composition,...
-
Differentiate among the four principal types of selection techniques.
-
Support-department cost allocations; single-department cost pools; direct, step-down, and reciprocal methods. Spirit Training, Inc., manufactures athletic shoes and athletic clothing for both amateur...
-
Write a C++ program that calculates the total number of days between two dates (inclusive), which are input by the user, in a format of day month year. For example, if the input is 1 1 2022 and 11 4...
-
The position of a particle as a function of time is given by r(vector) = (5.0i + 4.0j)t 2 m, where t is in seconds. a. What is the particles distance from the origin at t = 0, 2, and 5 s? b. Find an...
-
Let A and B be 2 2 matrices. (a) Does det(A + B) = det(A) + det(B)? (b) Does det(AB) = det(A) det(B)? (c) Does det(AB) = det(BA)? Justify your answers.
-
Let A be a symmetric tridiagonal matrix (i.e., A is symmetric and aij = 0 whenever |i - j | > 1). Let B be the matrix formed from A by deleting the first two rows and columns. Show that det(A) = a11...
-
Programming Exercise 5.26 approximates e using the following series: In order to get better precision, use BigDecimal with 25 digits of precision in the computation. Write a program that displays the...
-
The public utilities commission in a state lifts price controls on the sale of natural gas to manufacturing plants and allows utilities to charge market prices (which are 30 percent higher). What...
-
Suppose you have information on which of the 13 randomly selected teenage workers in the fast-food industry worked part-time and which worked fulltime. Variable F i is equal to 1 if the worker is...
-
Modern courts do not allow recovery for fetuses who have defects because of injuries sustained while in utero, nor are wrongful-death actions allowed for fetuses who are stillborn as a result of...
-
What is the transferred-intent doctrine?
-
The following table gives the demand for labor at Homers Hideaway, a motel in a small town. a. Draw the demand for labor curve. b. Calculate the wage elasticity of demand at points along the demand...
-
Emergency switch Safety engineers must determine whether industrial workers can operate a machines emergency shutoff device. Among a group of test subjects, 66% were successful with their left hands,...
-
Pappa's Appliances uses the periodic inventory system. Details regarding the inventory of appliances at January 1, purchases invoices during the year, and the inventory count at December 31 are...
-
Let V be an inner product space. Show that if u and v are orthogonal unit vectors in V, then ||u - v|| = 2.
-
Let V be an inner product space. Show that if w is orthogonal to each of the vectors u1,u2, ... ,ur, then it is orthogonal to every vector in span (u1, u2,..., ur,}.
-
Let {w1, w2,..., wk} be a basis for a subspace W of V. Show that W consists of all vectors in V that are orthogonal to every basis vector.
-
Do you think that all levels of management have the same functional skills needed for the workplace? How do managers in organizations communicate in terms of tone and leadership style?
-
Accustart Ltd. acquired 38% of the common shares of Lecce Ltd. on January 1, 2024, by paying $5.76 million for 144,000 shares. Lecce declared a cash dividend of $0.60 per share in each quarter that...
-
List and analyze the selection to demonstrate whether you agree or disagree with the list. Explain why or why not....
Study smarter with the SolutionInn App