How does matrix rank interact with matrix multiplication? (a) Can the product of rank n matrices have
Question:
(a) Can the product of rank n matrices have rank less than n? Greater?
(b) Show that the rank of the product of two matrices is less than or equal to the minimum of the rank of each factor.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
a The product of rank n matrices can have rank less than or equal to n but not greater than n To see ...View the full answer
Answered By
Mario Alvarez
I teach Statistics and Probability for students of my university ( Univerisity Centroamerican Jose Simeon Canas) in my free time and when students ask for me, I prepare and teach students that are in courses of Statistics and Probability. Also I teach students of the University Francisco Gavidia and Universidad of El Salvador that need help in some topics about Statistics, Probability, Math, Calculus. I love teaching Statistics and Probability! Why me?
** I have experience in Statistics and Probability topics for middle school, high school and university.
** I always want to share my knowledge with my students and have a great relationship with them.
** I have experience working with students online.
** I am very patient with my students and highly committed with them
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
(a) How does matrix rank interact with scalar multiplication-can a scalar product of a rank n matrix have rank less than n? Greater? (b) How does matrix rank interact with matrix addition-can a sum...
-
The first question below appeared as Exercise 30. (a) Show that the rank of the product of two matrices is less than or equal to the minimum of the rank of each. (b) Show that if T and S are square...
-
(a) How does matrix multiplication interact with scalar multiplication: is r(GH) = (rG)H? Is G(rH) = r(GH)? (b) How does matrix multiplication interact with linear combinations: is F(rG + sH) = r(FG)...
-
Which do you feel is more important for a new business: the income statement or the statement of ash flow? Why?
-
In the spring of 2008, Senators John McCain and Hillary Clinton (who were then running for president) proposed a temporary elimination of the federal gasoline tax, effective only during the summer of...
-
Daniela Fletcher owns undeveloped land (adjusted basis of $80,000 and fair market value of $92,000) on the East Coast. On January 4, 2022, she exchanges it with Lisa Martin (an unrelated party) for...
-
Transfer Pricing Montana Woolen Products has two divisions: a Fabric division that manufactures woolen fabrics, and a Clothing division that manufactures woolen dresses, coats, shirts, and...
-
Kitchen Supply, Inc. (KSI), manufactures three types of flatware: institutional, standard, and silver. It applies all indirect costs according to a predetermined rate based on direct labor-hours. A...
-
Suppose that Sudbury Mechanical Drifters is proposing to invest$11.8 million in a new factory. It can depreciate this investmentstraight-line over 10 years. The tax rate is 40%, and the discountrat 2...
-
Complete Keith's tax return including all required schedules and forms using prince edward island as province, using the fillable forms package. Taxpayers Information Taxpayer #1 Name: Keith Dox...
-
In the proof of Theorem 2.12 we used some maps. What are the domains and codomains? Theorem 2.12 If F, G, and H are matrices, and the matrix products are defined, then the product is associative...
-
Is 'commutes with' an equivalence relation among n n matrices?
-
For the system of Example 11.11 determine the optimum value for k2 when k1] - 1 and xT (0) = [1 0].
-
How do practitioners of design iteration, operating within the realm of advanced creative processes and innovation ecosystems, navigate the multifaceted landscape of iterative design refinement,...
-
Give an example of how a real-life person or family could benefit from the CDFI services. Next, give an example of how a real life person or family HAVE benefitted from the CDFI services?
-
A 7 5 kg skydiver opens their parachue at 1 , 0 0 0 meters in the air. This causes them to slow down at a rate of 5 m / s ^ 2 Forces the object feels ( in Newtons ) Gravity: Air resistance: Normal...
-
At January 1, 2025, Rustic Ravine Company had Accounts Receivable of $35,000. During the year, Rustic Ravine Company earned sales revenue of $186,000 on account and collected $131,000 on account....
-
Self-care is an important component of a social worker's professional development. Identify two ways you will integrate self-care into your Service-Learning experience this semester. Why is this...
-
A study done in France (Uffler et al., 2017) explored whether there is an association between a students intrinsic motivation and where they sit in class. More specifically, they studied 593 health...
-
Can partitioned join be used for r r.A s? Explain your answer
-
In 1964, Soviet scientists made a new element with atomic number 104, called simply E104, by bombarding plutonium with neon ions. The half-life of this new element is 0.15 seconds, and it was...
-
In many states it is illegal to drive with a blood alcohol level greater than 0.10% (one part alcohol per 1,000 parts blood) suppose someone who was involved in an automobile accident had blood...
-
In the tragic 1989 accident of the Exxon ship Valdez that dumped 240,000 barrels of oil into Prince William Sound, the National Safety Board determined that blood tests of Capt. Joseph Hazelwood...
-
The automatic GST exemption allocation for direct skip transfers applies as much of the transferor's remaining GST exemption as is necessary to create a zero inclusion ratio (or as close to zero as...
-
Assets that generate income in respect of a decedent (IRD): Group of answer choices a) Do not generate gross income when the income is collected. b) Are excluded from the gross estate. c) Both a. and...
-
The annual dollar amount of income generated by an investment divided by the investment's current market value is called Blank______. Multiple choice question. dividend payout total return...
Study smarter with the SolutionInn App