Prove that a 2 Ã 2 matrix is reducible if and only if a 12 = 0
Question:
is reducible if and only if a12 = 0 or a21 = 0.
Transcribed Image Text:
A12 A = a22 a21 И22
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 53% (15 reviews)
By the discussion preceding Theorem 437 a matrix A is reduc...View the full answer
Answered By
Shivani Dubey
Hello guys, I am very good with the Advance mathematics, Calculus, Number theory, Algebra, Linear algebra, statistics and almost all topics of mathematics. I used to give individual tutoring students in offline mode but now want to help students worldwide so I am joining here. I can also give solutions in various coding languages of mathematics and software like mathematica, R, Latex, Matlab, Statistica, etc.
feel free to ask any doubt regarding mathematics
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Prove that a 2 2 matrix A is reducible if and only if a12a21 = 0.
-
Prove Theorem 17.7. For polynomials in F[x], (a) Every nonzero polynomial of degree < 1 is irreducible. (b) if fix) F[x] with degree f(x) = 2 or 3, then f(x) is reducible if and only if f(x) has a...
-
(a) Prove that an orthogonal 2 Ã 2 matrix must have the form where is a unit vector. (b) Using part (a), show that every orthogonal 2 Ã 2 matrix is of the form where 0 ¤ u...
-
A cell uses 90 kg of a certain material each day. The material is transported in vats that hold 54 kg each. Cycle time for a kanban is about two hours. The manager has assigned a safety factor of...
-
If the MPC was 0.90, (a) How much did consumer spending decline initially in response to the 2013 expiration of the payroll tax cut (essentially, a tax hike to consumers)? (News Wire "Fiscal...
-
A substance known to have a cubic unit cell gives reflections with radiation of wavelength 137 pm at the glancing angles 10.7, 13.6, 17.7, and 21.9. The reflection at 17.7" is known to be due to the...
-
Use the data for Atlantis Aquatics, Inc., from E4-21 A. Requirements 1. Prepare Atlantis Aquatics classified balance sheet. Use the account format. The balance shown for retained earnings represents...
-
At the beginning of November, Yoshi Inc.s inventory consists of 60 units with a cost per unit of $94. The following transactions occur during the month of November. November 2 Purchase 90 units of...
-
A firm generates $20M a year and has cash costs of $13 million per yea. The firms annual depreciation is $8M and its tax rate is 30%. The firm maintains !18M in working capital. What is the annual...
-
Consider the following information about a university database: Professors have an SSN, a name, an age, a rank, and a research specialty. Projects have a project number, a sponsor name (e.g., NSF),...
-
Let A and B be n n matrices, x a vector in R n , and c a scalar. Prove the following matrix inequalities: a.|cA| = |c| |A| b.|A + B| |A| + |B| c.|Ax| |A| |x| d.|AB| |A| |B|
-
Let A be a non-negative, irreducible matrix such that I - A is invertible and (I - A) -1 O. Let 1 and v 1 be the Perron root and Perron eigenvector of A. (a) Prove that . (b) Deduce from (a) that v...
-
Define pH. What pH range is considered acidic? Basic? Neutral?
-
What is budgeting?
-
Briefly describe the contents of a typical financial plan.
-
a. On the balance sheet, what is the difference between long-term investments and property and equipment? b. What is the difference between gross fixed assets and net fixed assets? c. How does...
-
What time periods are used in budgeting?
-
Why is cost allocation important to health services managers?
-
A connected graph is shown. Identify any bridges in each graph. E
-
The area of a rectangle is 30 cm 2 and its perimeter is 26 cm. Find the length and width of the rectangle.
-
What is the lifetime risk (from age 15 to age 70) of testicular cancer for men with age at surgery = 15, assuming that the incidence rate remains constant over time? Assume that all men do not die of...
-
What is the probability that a 40-year-old woman will develop colon cancer over the next 5 years? Cancer Data from the Surveillance Epidemiology and End Results (SEER) registry provides incidence...
-
What is the probability that a 40-year-old woman will develop colon cancer over the next 20 years (i.e., from age 40.0 to age 59.9)? Cancer Data from the Surveillance Epidemiology and End Results...
-
Ala was prosecuted for murder of his friend Sam. Ala admitted that they had argued and that he had punched Sam, knocking him down. However, when testifying in his own defence, he claimed that the...
-
Going back to this week's recording, revise what you learnt about the doctrine of precedent. In the famous House of Lords case of Donoghue v Stevenson [1932] AC 562, the Court determined that the...
-
Joker invites Batman and Robin to his home for tea. Peter Paralegal who is also attending the meeting, presents a will he prepared. He asks Batman and Robin to be physically present when Joker signs...
Study smarter with the SolutionInn App