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Luda [366]
2 years ago
6

For each linear operator T on V find the eigenvalues of T and an ordered basis such that [T]_B is a diagonal matrix

Mathematics
1 answer:
-Dominant- [34]2 years ago
6 0

Answer:

It seems like this question is not clear enough but it probably is like the one in the pictures.  :)

Step-by-step explanation:

Look at the pictures.

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Farmer Bob is trying to figure out how much space he has for his garden. If the sides of the garden are 10 ft and 50 ft, what is
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The area of the garden 10 ft•50 ft= 500 sq ft
5 0
3 years ago
1. Prove or give a counterexample for the following statements: a) If ff: AA → BB is an injective function and bb ∈ BB, then |ff
Fantom [35]

Answer:

a) False. A = {1}, B = {1,2} f: A ⇒ B, f(1) = 1

b) True

c) True

d) B = {1}, A = N, f: N ⇒ {1}, f(x) = 1

Step-by-step explanation:

a) lets use A = {1}, B = {1,2} f: A ⇒ B, f(1) = 1. Here f is injective but 2 is an element of b and |f−¹({b})| = 0., not 1. This statement is False.

b) This is True. If  A were finite, then it can only be bijective with another finite set with equal cardinal, therefore, B should be finite (and with equal cardinal). If A were not finite but countable, then there should exist a bijection g: N ⇒ A, where N is the set of natural numbers. Note that f o g : N ⇒ B is a bijection because it is composition of bijections. This, B should be countable. This statement is True.

c) This is true, if f were surjective, then for every element of B there should exist an element a in A such that f(a) = b. This means that  f−¹({b}) has positive cardinal for each element b from B. since f⁻¹(b) ∩ f⁻¹(b') = ∅ for different elements b and b' (because an element of A cant return two different values with f). Therefore, each element of B can be assigned to a subset of A (f⁻¹(b)), with cardinal at least 1, this means that |B| ≤ |A|, and as a consequence, B is finite.

b) This is false, B = {1} is finite, A = N is infinite, however if f: N ⇒ {1}, f(x) = 1 for any natural number x, then f is surjective despite A not being finite.

4 0
3 years ago
-4= m- 17<br> plz help me out plz
taurus [48]
m=13. All you have to do is add 17 on both sides of the equation
6 0
3 years ago
Read 2 more answers
Complete this question.
Scrat [10]

Answer: The evidence from the story is base of the new church in this period and the first child to be a part in church and church of the church

Step-by-step explanation:

7 0
3 years ago
Which expression is equivalent to 3i(9i +15)?<br> - 45 +9i<br> -27 + 452<br> 27 +452<br> 2722 + 452
vaieri [72.5K]

Answer: B. -27+452i

Step-by-step explanation: Simplify the real and imaginary parts of the expression.

Hope this helps you out.

3 0
3 years ago
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