3 points 4+31 If Z = then Z 5-3i O (11-27i)/25 O (-11-271)/25 O (-11+27i)/25 O (11+27i)/25

Q: 7 - 6 - 5 -4 -3 | P(X = x) 0.2 0.2 0.2 0.2 0.2 %3D of P(X < -3). Round your answer to one decímal…

A: Given : x -7 -6 -5 -4 -3 P(X=x) 0.2 0.2 0.2 0.2 0.2

Q: 3. (2i+1) = 3+5+7+9+... +(2n+1) = n(n+2). i=l 4. (2i-1) =1+3+5+7+9+...+(2n – 1) = n(n) = n². i=1

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Q: n 2n + 2 /2 n 2n k k=1 \k –1, п+1 n -

A: The objective is to prove that ∑k=1nnknk-1=2n+2n+1/2-2nn This theorem can be proved by induction,…

Q: 13. (a) Find a number 8 such that if x- 2 < 8, then 4x - 8 < 8ɛ, where ɛ = 0.1. (b) Repeat part (a)…

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Q: Corollary 6.9. Let X; ~ N(m;, o?), i = 1,2, where X1 and X2 are indepen- dent, and let Y = X1 + X2.…

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Q: (6.3) prove Vn E N if the alternating sum of the digits of n divisible by 11, then n is divisible by…

A: (6.3) we have to prove that  ∀n∈N   if the alternating sum of the digits of n divisible by 11, then…

Q: (2* – 3.2**)()n – 2.5*-*) 7. Obtain the simplest value of 3n – 2.3- 3"-4 n+3 -

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Q: 2-4 Let A Then A -l exists provided that d # -8- %3D 4 d True False

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Q: 6 - 6 1 5 3x 0 find x if 3x O x = 3,-3 O x = 1,-1 O none O x = 2,-2

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Q: 34, a5 -246, and a6 1210. Find a1, a2, 5an – 1 2ап-2 + 6ап -з аnd a4 — Suppose an and a3. a1

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Q: 2. Using the identity -4 %3D 5 compute -6 -5 Hint: = I2 2

A:

Q: [1 2 -3] (b) If A =0 3 0 2 -2 2, find the value of A" using Cayley Hamilton Theorem. Hence verify…

A: We will find out the required value.

Q: 2 3 -1 В 3 0 2 Given A = B = 1, C= |1 -2]. Verify that (AB)C = A(BC)

A: The given matrices are A=23-1302, B=112  and  C=1-2. Evaluate (AB)C as follows. ABC=23-1302×112…

Q: 4-)Qu+2=2(Qu+1-Qu)  Q0=1 Q1=2 find the rule of series

A:

Q: If k = (11.03.-9.12,3.15,-1.01) in R4 then k| = %3D %3D

A: Given  k = 11.03, -9.12, 3.15, -1.01t in R4. We have to find the value of k1.

Q: 4+3i If Z = 5-3i then Z1 =...... %3D (11-27i)/25 (-11-27i)/25 (-11+27i)/25 O (11+27i)/25

A: Inverse of the complex number

Q: 3 0 -2 3-Let A= 0 1 2, B= Find:- 3 L-1 1 5] (2A – I)B' and show that (BA)'=A'B'

A:

Q: (3 -2 (2 -3 6 2. If A = 7 5),B = (5 4 3 then show that (AB)' = B'A'. 1 2 6/ 1 -1 3 1 2 3 3. If A=| 7…

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…

Q: 2 1 -1 1 -2 3 2 1 -1 -2 1 3 2 -1 1 2 2 If A = show that -2 1 (A +B)² A² + AB + BA + B² %3D

A: Given, A=21-11-23-212 , B=1-12-2132-11

Q: Ž (1 – p)?k=1 = -P- Ž (1 – p)²k 2k-1 Ë (1 – p) | 1- P k=1 k=1

A: Considering the LHS looping the values from 1 to 4 ∑k=1∞(1-p)2k-1 = 11-p∑k=1∞(1-p)2k LHS…

Q: (-1)²-1n n+vn b) an (Hint: Show what happens when n is odd and when n is even) %D

A: A  sequence is an enumerated collection of objects in which repetitions are allowed and order…

Q: 5 -4 1 - 2 -1 1 8 8 -2 6 -9 2 6. If A = 7 8 3 -1 B = -7 9 2 1 8 2 -4 -5 2 -5 Find: AB 3.

A: To find  AB

Q: Eo(-1)" = 1 + (-1) + 1 + (-1) + --- = (1 – 1) + (1 – 1) + --- = 0 + 0 + -- = 0 %3D True False 5.

A:

Q: 1 2 -3 1 a) If A = -4 5 O -2, and B = Calculate: - ATB = %3D

A:

Q: 7 > 2i-1 2. 10 8/-1 3. 5 S2(10)/ i=0 N :WE

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: 1. Solve: An = An -1+ n; Ao = 0

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Nummber 40 please

A: To write an expression in the simplest form that represents the total in each situation.

Q: C=k-2 express ((c^2)-(k^2))-2 in terms of k

A: C=k-2 express ((c^2)-(k^2))-2 in terms of k

Q: k +1 2. A = 2k + 2 7 -k – 1 %3D .3 -1 O 1/2 O The value of k does not exist

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Q: 3x-5 -7 2 Given: Prove: x =-3 Statements Reasons 3x-5 1. a. 2. 3x-5= -14 2. b. 3. 3x =-9 3. с. 4. x…

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Q: 1 2 2 If A 2 2 1 A? – 4A- 51 = Q, =|2 1 2, then prove that

A: Introduction :

Q: x2 Given that A = 1 3 6 3 and B = 3x find the possible value of x such that AB = BA |2 x

A:

Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: 0. 1 Let A = 1 3 %3D 4 -3 8 What is the (2,2) entry of adj(A)? What is the (2,2) entry of A-1?

A: Given Matrix is square matrix of order 3 ∴ (2,2) entry is the middle of matrix To find the adjoint…

Q: Please help I’m stuck on this one, I’m stuck

A: Introduction: Big-O notation analysis on polynomial function: If f(n)=a0+a1n1+a2n2+...+amnm, then…

Q: Σ (-1)* True/False: We have = -1. (2k)! k=0

A: We know thatcos(x) = ∑k=0∞-1kx2k2k!

Q: 2 1 A = Given then 3 4 2 -1 5A-1 O a. %3D -3 4 4 -1 5A-1 %3D Ob. b. -3 2 -2 1 3 -4 5A-1 -2 3 54-1…

A: Given A=2134We know that for A=abcd then A-1=1ad-bcd-b-ca

Q: 1 3 -1 3 5 -1 2 -1 For Test I, let A =| В 3 -2 and C Find: -3 4 1 2 1

A: To find:  The value of a12 of Ct. Given: The matrix is C=-1012. Concept used: The transpose of a…

Q: 3 2. If B = 1 show that B? - 5B+7I =0 [-1 2]

A: Given that B=31−12 To show that: B2−5B+7I=0

Q: п(3п - 1) (b) (3i – 2) = (for n > 1). - i=1 (0) II (- n+1 (for n 2 2). i2 2n i=2

A:

Q: Kala -2 -1 01 A =5 2 ise A matrisinin simetrik matrisi A, aşağıdakilerden han 4] en 4 [-2 5 41 As -1…

A: Here, we have to find  which is the symmetric matrix of matrix A ,  of the following…

Q: z = -11 – 6i; determine the following: 1. z-5

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 2 5 4 -5 5. Let A = and B What values of k , if any, will make AB = k: %3D -3 1 3 BA?

A: Matrix multiplication

Q: -6 8 9 uv w Find the value of x y z if it is known that x y z=3. uv w -6 8 9 -6 8 9 ху 2 uv w

A: Note : As per our guidelines we are supposed to answer only one question. Since you have asked…

Q: x-2 If x-N(2,4), then 2 x²(1) O 3 I الخيار 3

A: Given that,  X~N(2, 4)  We have to find the distribution of  x-2/2~..........

Q: estion 7 2 3 A = 1 4 Given then -4 3 5A-1 O a. %3D 1 -2 4 -3 5A-1 Ob. %3D -1 2 sa - [ -2 3 5A-1 Oc.…

A: folow 2nd step.

Q: 2 1. Let i = -3 = Find 1 a) ū-i

A: Explanation of the answer is as follows

Q: 14) -1 + 2cos 0 = -1 5T A) {- + 2nn} TC B) { + an} 5T + 2nn} 3 C) + 2nn, TC D) + 2nn} 2. 3.

A:

Q: -2 k Using only a simple calculator, find the values of k such that det(M) = 0, where M %3D 1. -9 As…

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Q: 1 2 -1 2 3 5 -1 2 B = 1 -2 and C Find For Test I, let A 3 1 -3 4 1 2 1 2

A: