Let Z denote the set of all integers with addition defined in the usual way, and define scalar multiplication, denoted o, by:
alpha o k = [[alpha]]. k for all k in Z
where [[alpha]] denotes the greatest integer less than or equal to alpha, for example,
2.25 o 4 = [[2.25]].4 = 2 ... 4 = 8
show that Z, together with these operations, is not a vector space. Which axioms fail to hold?
Answers (1)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Let Z denote the set of all integers with addition defined in the usual way, and define scalar multiplication, denoted o, by: alpha o k = ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
If a rope that is 29.7 inches long is cut into equal pieces that are 2.25 inches long, how many pieces of rope can be created
Answers (2)
Ommy Teacher wants to analyze the weights of the students at his school. He knows the weight of the students is normally distributed so he can use the standard normal distribution.
Answers (1)
There are 5 times more boys than girls total number of students is 2814
Answers (1)
What is decimal representation of 27/100
Answers (1)
Which of the following decimal numbers equals 4 thousands, 9 hundreds, 2 tens, and 6 ones?
Answers (1)
New Questions in Mathematics
There are twice as many Robins has blue jays and their 21 altogether how many blue jays are there
Answers (1)
Tony measures a drum stick and gets a length of 31 centimeters kate converts tony's measurements and gets 3.1 is her answer reasonable tell how you know
Answers (1)
Solve 7 + 2x ≥ - 5 - x
Answers (2)
How many solutions does the equation 2+6 (x-4) = 3x-18+3x have?
Answers (1)
A coin is tossed 2 times. find the probability that all 2 tosses are tails
Answers (1)