10. Let 1 -1 -1 -1 -1 -1 -1 Compute A?. Find A-1. Evaluate det(A).

Q: 29. Compute det B, where B = 1 2 2

A:

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

A:

Q: Prove the following fact: A" = 3"-1A. 1 1 1 1 1 1 1 1 1 A =

A: Given, A =111111111  We have to  prove An = 3n-1A

Q: 6. let A 6 6 -3 -2 -1 -2 -5 -3 diagomol moatie over te Lield R? Oer C I Is A similar do a

A:

Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

A:

Q: 12. Compute M.D 'and its coefficient from the following datá. Classes 7.5- 8.5- 9.5- | 10.5- 11.5-…

A:

Q: Let X = [-1 -1 1] and Y = [0 1 2] consider -1 -21 [a11 XTY = | -1 -2 а32 азз. where X' denotes the…

A:

Q: Suppose X and Y have the following joint PMF. x\y_1 3 4 6. 1/6 1/6 0 1 2 1/12 1/12 0 1/12 1/12 0 1/6…

A:

Q: 3. Show that if A-1 exists, then f eAT dr = A-(eAt – I) = (e4t – I)A-1.

A:

Q: 20 2 Compute det B* where B = 113 2 2 2

A:

Q: 2. When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and…

A:

Q: [2 3 Let A= PDP and compute A*. where P= 4 -2 0 D= a) -1

A:

Q: In P2 , if B = {1,1+x + x², x + 2} and D = {x², x, 1} , then PD-B = 1 1 1 1 1 1 1 1 1 1 2 -2 ) 1 1 1…

A:

Q: 1 k 8 -6 6 O -8 7 3 2 Let A = 0 0 k 3 -7 0 0 0 7 -6 0 0 0 0 9 choose When is det(A) > 0?

A:

Q: Is it true that if a, < b, for all nE N and E-1 a, is divergent, then E-1 bn is divergent? If false…

A: Given: an≤bn for all n∈ℕ To check that if ∑n=1∞an is divergent then ∑n=1∞bn is divergent

Q: Prove that in Q(V-5) we have (3,1+ 2/-5)(3, 1 – 2v-5) = (3).

A:

Q: Show that when |z +1| < 1,z² =1+£(n +1)(z+1)" n=1

A:

Q: 6. Compute 1,= de for p= 0,1 10

A:

Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: 4. Let b > a > 0. Show that (a,b] is neither closed nor open.

A: Explanation of the solution is given below....

Q: 3 Let C = 6. 6. 4 and D = 2 -6 7 -4 -1 Find DC if it is defined. Otherwise, click on "Undefined".

A:

Q: 28. Compute Ak where A = [4.-3] 2 - 3.

A:

Q: Prop (1.23 ≤ x ≤ 1.72) = Prop (-2.50 ≤ x ≤ 0.5) = Prop (x ≥ 3.00)

A: here use normal distribution table

Q: (b) Use the value of det(A) to evaluate 1 2 3 3 -2 3 3 1 1 1 2 -2 -3 -1 4. 1 3 -2 4) 2. 2. 021

A:

Q: 2 - 4 0 0 16. А — 2 3 1-1

A:

Q: 2 Let A = then det(3AT) - 18 -6 -2 II

A:

Q: 2. Compute the convolution of the following signals for n 20 n n x1(n) = and x2 (n) = (;)" u(n) n…

A: Consider the expression of . Determine the z-transform of .

Q: 3. Show that if A-1 exists, then eAT dr = A-1(eAt – I) = (eAt – I)A-1.

A:

Q: 21. Compute A100, and A-1, where A 5 0 0 -3 -2 0 -305

A: given matrix A=50-30-20-305 compute A100 and A-1

Q: 2) Find VH if DH=1 U H G

A:

Q: Suppose X and Y have the following joint PMF. æ\y_ 1 2 3 4 1/6 1/6 0 1 1/12 1/12 0 1/12 1/12 0 1/6 0…

A:

Q: Let x = (-2,7,-7) and y = (1,6, 6) be in R°. Compute the following: x + y = ( -5x x – y = ( -5 x +…

A:

Q: and u = (1,0, 1) at P(1, 1, 1).

A:

Q: 1 5 Q2: Let A =-3 2 5 compute A- 1 31 1 4

A: Given matrix is A=156−325413 We have to find the inverse of A that is A-1. The inverse of A is given…

Q: Compute A5 if A = PDP¯1. 1 P = 3. 1 1 0 0 -1 4 O 2 0 -1 0 0 -1

A: see 2nd step

Q: Suppose X~N(165,16), and Z~N(0,1). Then x = 173, is equivalent to z = ______. (Round your answer to…

A: Given: X~N(165,16) μ=165σ2=16Thus, σ=σ2=16=4 And X=173

Q: Prove that if A is similar to B and B is similar to C, then A is similar to C.

A:

Q: If Ea, is divergent and 2b, is divergent, then E(a, + ba) is divergent.

A: Taking an example and than we are trying to understand tha statement.

Q: 16. Ho: μ-85 Ha:μ #85 a=0.1 n=29 a=unknown O a. Left-Tailed, -2.467 O b. Right-Tailed, 2.467 O c.…

A:

Q: 2. Verify that det(AB)= det(A)det(B) and determine whether the equality det(A+B) = det(A) + det (B)…

A: Note : As per the authoring guidelines, when multiple questions are posted, then only first question…

Q: There are two food carts serving food at a local park. At any given time, Let A denote the number of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Compute (12.3 – x x) for the following set ofn = 5 values. X1 = 0, x2 = 4.1, x3 = 5.5, x4 = 0.6, x5…

A:

Q: Compute det B4 where B

A:

Q: Let A, B and C belong to M(3,R) such that: det(A) = 10, det(B)= 10/5 and det(C) = 3, then…

A:

Q: 5 - compute – 5A 3 Given A 3

A: we have to calculate -5A

Q: There are two food carts serving food at a local park. At any given time, Let A denote the number of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 5. (a) Evaluate : Lt (b) x→0 1- 1-x

A:

Q: 21 Compute AB in the 3 0 4 Let A = and B -3 0 -2 -1 5 four different ways:

A: As per the instruction, we will be solving only the first part. Standard way,…

Q: Suppose that det A = 3 and det B = – 1. Find det(AB³A™B-1)

A: Determinant Properties: 1) det(AB)=det(A) det(B) 2) det(A)=Det(AT ) 3) det(An)=(det(A))n 4)…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.