QUESTION 20
What is the following rule 0x=0 and 1+x=1 being called?
Identity law |
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Null law |
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Idempotent law |
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Inverse law |
QUESTION 20 What is the following rule 0x=0 and 1+x=1 being called? Identity law Null law...
What is the following rule xx=x and x+x=x being called? Identity law Null law Idempotent law Inverse law
1, and 6. An n xn matrix A is called idempotent if A2 = A. Some examples include lude [22] fool the identity In: Idempotents correspond to "projections onto a subspace," as we will discuss later. Prove the following statements: a) If A is idempotent then so is A". b) If A is idempotent, then so is In - A. c) If A and B are both idempotent, and AB = BA= Onxn (the zero matrix), then A+B is idempotent....
Question 1 We prove 0x = 0 as below. Which method of proof did we use? X=X X-x = 0 (1-1)x =0 0x =0 direct proof proof by cases proof by contrapositive Question 2 If direct proof is used to prove the following statement: If x is a real number and x s 3, then 12 - 7x + x*x > 0. What is the hypothesis? 12- 7x+x*x>0 If x is a real number and xs 3 12-7x+x*x<0 If x is not a real number or x > 3 Question 3 If proof by contrapositive is used...
Question 2 1 pts The Pareto principle is often called the "80--20 rule." True False
solve it by using matlab Question 2) (2.5 points) Examine the following trigonometric identity: sin'(x) = (3 sin(a) – sin(3.c)) Verify that this identity is valid. To do so, define a variable x as x = 84 (in degrees!). Compute the left and right sides of the identity and assign them to variables p2left and p2right. Because x is in degrees, make sure you are using the correct trig function! Use the help function if you are unsure. Question 1)...
Problem 3. (20 pts) (a) (10 pts) Show that the following identity in Pascal's Triangle holds: , Vn E N k 0 (b) (10 pts) Prove the following formula, called the Hockey-Stick Identity n+ k n+m+1 Yn, n є N with m < n k-0 Hint: If you want a combinatorial proof, consider the combinatorial problem of choosing a subset of (m + 1)-elements from a set of (n + m + 1)-elements.
Establish the identity sin 20(1+cot ?0) = 1 Which of the following shows the key steps in establishing the identity? 1 sin 20 ОА. sin ?е(1 + cot?e) = sin 20 tan 20= sin 20- cot20 sin 20 O B. sin 20(1 + cot 20) = sin 20+ sin 20 cot 20= sin 20+ cos20= 1 Ос. sin 20(1+ cot?e) = cos 20+ cos 20 sin de + cos20 = 1 sin e cos 20 D. 1 sin 20 sin...
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
Question 13 0.14 pts Use L'Hospital's rule to evaluate In(x + 1) – lim 1 cos(3x) 20 1 9 1 0 On 1 3 O -1 0
How to evaluate this question? L'Hopital rule can be used when needed. b. lim x1/(1-x) X-0