[2 2 2 4 = |2 2 mat Lo 0 1] 23-52²+ 41

Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

A:

Q: Expand and simplify. (8h +3) (7h² – 4h+1) - O 56h3 – 32h² + 8h + 3 - O 56h3 – 11h? 4h + 3 O 56h3 +…

A:

Q: 7) Statements 1. x-(8x + 9) = -30 1. 2. x-8x-9 = -30 2. 3. -7x - 9 = -30 3. 4. -7x = -21 4. 5. x 3…

A: topic - Linear equation in one variable

Q: 2. + -+- 1.3 3.5 5.7 + + 1 n (2n-1)(2n+1) 2n+1

A: As per guidelines, I can do first question only.

Q: 4 1. -7 -6 -5-43 -2 -1, 1 2 3 4 5 6 78 -2 -3 -4 -5 -6 -7 -8 Co 3.

A: We have to find

Q: * Q1 1 |1 2 31 -1 -1 0 21 3 -3 11 14 5 -71 -41 -7] -14] 2. -11 3. 5 -7 5] 5. 1 2 3 1. 4.

A:

Q: b) Prove that 20 15 k Σ 3.2-Σ 96.2 %D i=5 k=0

A:

Q: use factoring by grouping to solvethe equations.

A: Definition used -         Factoring by grouping -         We can factor polynomial by grouping.…

Q: solve the polynomial equations byfactoring, and check the solutions graphically.

A: "Since questions with multiple subparts are asked, we are going to solve the first three subparts…

Q: 8n +7 = 31 10 - 6v = -104

A: Let the given equation is 8n + 7 = 31 Subtract 7 from both sides 8n +7 - 7 = 31 - 7 8n = 24 Divide…

Q: Show that (n + 1)!)" < 2! · 4! - (2n)!.

A: The objective is to prove the given statement using induction

Q: 24. 4m2 + 76 = 0 %3D 25. -2m2 - 6 = 0 26. -5m2 - 65 = 0 27. 응x2 + 1230 4

A: Given query is to find the solution of the expressions.

Q: What is the coefficient of z12 in (6-12z)12 O a. P(12,6)* -612 O b. 1212 O c. C(12,12)* 612 O d.…

A: From the binomial expansion, a+bn=C(n,0)an+C(n,1)an-1b+C(n,2)an-2b2+...+C(n,0)bn The rth term of the…

Q: (-1)**'n! 1-3-5..(2n+1) n+1

A: The objective is to find whether the series is convergent or divergent.

Q: 1 0 2 2 4 8 -7 9, then prove that (AB)' = B" A" . -5 0 If A = 2 -1 3 and B : 3 4 1 8 2

A: Evaluate (AB)T as follows.…

Q: 19.The expansion of 1- x) = X. 1- 4x + 7x2 C.1-4x- 7x² - .. B. 1+4x- 7x² + D. 1+4x + 7x² + ... ...…

A:

Q: 21 A = 2 2 3 Lo o Г2 2 11 A matrisinin Özdeğerlerini bulunuz. 11 = 4, A) 12 = 1, 13 = 0 11 = -4, B)…

A: Given : Matrix is given  2    2    2 2    2    3 0    0   1

Q: Prove 2+4+8...+2n=2n+1-2

A:

Q: don't understand how you did this answere? Ppiranha=npiranhanTotal=724=

A:

Q: 4 Σ n2 +4n +3 - 9-n+24n+1

A: Separate the sum.

Q: Find (2n – 3)(n + 4). * О Зn +1 О 2n^2 + 5n -12 О 2n^2- 12 О 2n^2 + 11п +1 Simplify: 2a^2(5а- 6) -…

A:

Q: -5-9х %3D 3(1-3х) — 8

A: Given: -5-9x=31-3x-8

Q: 19. Algebra If mZRZT- 110, mRZs-36, and MZTZS- 8, what are mRZS and mTZS?

A:

Q: 23 22 - - (4 + 6i) z² − (5 - 10i)z = 0.

A:

Q: How Find 7.J {()= 2(-1)* u(k-1) に、 Ans: 2Z

A: This question is related to Z-transform , We will solve it using given information.

Q: 10 8. 2- -3 -2 -1 1 -4 -6 -8- -10 Co 64 2N

A:

Q: Show that 1.3.5... (2 n – 1) (ii) P2n+1(0) = 0. (i) P2n (0) = (– 1)" 2.4.6 ... 2 п

A:

Q: (7+2)^2

A: (a+b)2 = a2 + 2ab + b2

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: 2x1 — Зх1 — 5х2 — 7хз + 3x4 3D 11 4x1 + 3x2 — 4xз — 5х, 3D 3 5x1 + 4x2 + 6х3 — 2х4 3D 45 2х2 + 3x3 +…

A: We have: 2x1-2x2+3x3+4x4=333x1-5x2-7x3+3x4=114x1+3x2-4x3-5x4=35x1+4x2+6x3-2x4=45 This can be written…

Q: 8 -51 (*1 7|X2 3|X3 7 5 [-1 6 3 -2 -11 8 -9 -5 .1 8 - 3 4 con om

A: Given:

Q: 6.) Statements 1. 2x + 12 = 5x – 3 1. 2. 12 = 3x – 3 2. - 3. 15 = 3x 3. 4.5 =x 4.

A: Simplification

Q: Prove (n + 6)² – (n + 2)² is always a multiple of 8. (Use direct proof.)

A:

Q: -2/2] 2 3) If A= and B 2 2v21. Show that A and B commutative.

A: The two matrices A and B are said to be commutative if AB=BA. The given matrices are…

Q: (a) A team of 5 debaters of IUB is to be chosen from a section where we have 6 male and 4 female…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: [1 3 Given that A = 0 -3 li -6 -21 -51 0B = 0 2 [5 3 -1] -1 L3 -6 -21 Determine AB

A:

Q: What is (3a- 82² – 10a – 24) ( – 4)? O 3a2 + 4x + 3+ エー4 4 O 3x? + 4x + 6 O 3x? + 4x + 3- -4 O 322…

A:

Q: Show that r(r+3) Hence, Show that 1 +. 2.5 1 1-4 3-6 n(n+3) n+3 n+2 n+1

A: Using series

Q: 11. 6v + 38 < -4 or 2(v + 3) 2 -2 +++++ -8 -6 4 -2 0 2 4 6 8 Interval Notation:

A:

Q: Show that  1/3 Tn + 2/3Mn ) = S2n.

A: By definition, Tn=12∆xfx0+2fx1+....+2fxn-1+fxnMn=∆xfx1+fx2+.....+fxn-1+fxn…

Q: Therefore, the 3rd term in the expansion of (x – 10z)’ is as follows. 7! 7C2x7 - 2(-10z)? 5! (-10z)?…

A: Therefore, the 3rd term in the expansion of  (x-10z)7 is as follows.   7C2x7-2(-10z)2=7!5!2…

Q: 2. 6n – 1 is divisible by 5 for n any positive integer

A:

Q: Part 1, 2, and 3

A: (1) The proof for first part is,

Q: Q4: 1- Prove that (1– i)? + (1+ i)² = 0 . %3D 2- Put in the form a + ib ((1+ i)²)² - ((1- i)²)².

A:

Q: . Let, a, = 1, az = 2, b; = 0, b2 = 1, for n2 3, a, = 2an-1 + bn-1 for n22 b, = br-1+ an-1 express…

A:

Q: The sum of 8n^2-3n+10 and -3n^2-6n-7

A: Sum of 8n2-3n+10 and -3n2-6n-7       = 8n2-3n+10 + (-3n2-6n-7)        We will add given expression…

Q: 12 - 2 Let Ax) = x² + 3x + 5 , and 1 A = -2 1 3 3 -1 Which one is (A)=?

A:

Q: 13) +2=-1 x-6 14) -13 = 15) -9- 6n = 93 16) 0= *+ 7 1 2.

A:

Q: The result of the operation (3–2i)(2+3i) 3-4i is: Select one: ; 63 25 16 25 16 63 25 25 63 + i 25 16…

A:

Q: (16) Show that AB=BA for 1 5 0 0 A = 0 3 0 0 0 and B = 3 1 2

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.