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

Q: Question 5: If a = ~q and KB = (p (q v r) ^~p, prove using the analysis method (proof based on…

A: We know

Q: [1 2] If A = then show that |2A|=4|A| %3D 4 2

A:

Q: 18) (SAnn B anlogbro dtiv C AB = 12, BC = 3x + 6, and AC = 5x – 12 a) Find BC b) Find AC

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: 11. If QM = 6x - 11 and MR = 2x + 9, find MN. %3D

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Assume that u - v = 2, ||u|| = 8, and ||v|| = 3. Calculate the value of (9u + v) · (u – 8v). %3D…

A: we multiply the given equation and then put the value of given data. u=8 v=3 u.v =2 note- According…

Q: 3 Given that u = 4i+ GJ and Iv[ = 2, find vif u and V are or thugonal to each other.

A:

Q: 1 Let A= 1 3. 8. D = 10 5 17 Which one is true? (Ustteki matrislere göre hangisi doğrudur?) O D= 2AB…

A: According to questionWe have to select which relation is correct.

Q: Suppose z = 7+-8i and w = 9+7i. Then Re (2)=? %3D

A:

Q: B = and C: .Prove that A = B² =C? = 1. 3. Given A = %3D

A: Given: A=0110, B=0-ii0, C=100-1 We know that for a 2×2 matrixP=abcd, P2 is given by…

Q: If po = 19.53, P1 = 19.63, ơm = 5, and mcritrical = 19.58, calculate ß for H1: µ1 – Po > 0. %3D %3D…

A:

Q: 11. What theorem is used to prove that BD 1 AC? C В. D A

A:

Q: Assume that u v = 6, ||u|| = 3, and ||v|| = 2. What is the value of 6u· (4u – 4v)? -

A:

Q: Prove in detail that Q(/3+ v7) = Q(V3, v7) %3D

A: According to guidelines we solve one question.

Q: 1. • If r + 1| < o, prove that |r³ + 1| < 0.331.

A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .

Q: Prove if: beR – {0,1} and a– 2b=ab, then b :( 1 a b+1 constans Value | 2

A: Topic:- Algebra

Q: Given that 32a × 11º = 274x × 332× express a in terms of x?

A: Find your answer below

Q: 20. Algebra mZOZP = 4r+ 2, MZPZQ = 5r - 12, and MZOZQ = 125. What are m2OZP and MZPZQ? %3D

A: In this question we have to find m∠OZP and m∠PZQ

Q: 16. If AB = 2x + 10 and CD = 15, then AB at is ? %3D 17 18 WITE

A:

Q: If z1 = 1+ jb , Z2 = re¬1² , z/z2 = -10 , determine all possible values of b and r %3D

A:

Q: 2 2 22 if== prove that 22 a¯x +b¯y¯ +c¯=¯ 3, ,3, 3 a'x + b°y +c°z xyz abc %3D

A:

Q: et, a1 = 3, a2 = 4 and for n > 3,an = 2an-1 + an-2 +n², express an in terms of n. %3D

A:

Q: 2. Given: m<GFI = 128 Prove: MZEFI = 40 %3D (9x - 2)° E Use two columns to separate your statements…

A: Given m∠GFI=128 To prove : m∠EFI=40 Use two column to separate your statements and reasons

Q: 3. prove that: det (AB) = det (A) det (B) a - (; ), » - ( ) 2 -1 7 2 B = 2 в 3 %3D

A:

Q: If A= B = verify that A(B + C) = AB+ AC. :) 1 If A = 2 and B show that (AB)" =B'AT 4 -1

A:

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

A: A=-100030001 and B=500030002

Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

A:

Q: 8. Given: AE and BD intersect at C. BAICA and CD LED. Prove: ABAC~AEDC Wo Statements Reasons AEans…

A:

Q: lo Prove that. Ax.CBx= (A.C)B. (A.B) where..As.a,it.azj.+a3.k t..

A:

Q: 2. If A = 2i + 2j-k and B 3i-6j + 2k, find (i) AB and (ii) AX B.

A:

Q: In AABC, AB//QR and AP : PB = BR : RC. With reasons, prove that PQ//BC. R C

A:

Q: 35. Apply the convolution theorem to show that 2e Meu² du = e'erfvi. | (s – 1. (Suggestion:…

A:

Q: af 10x +11ly and = 11x. Which of the following is the best definition of (x,)) = If %3D Əx

A:

Q: Show that ∗ : R × R → R defined by        a ∗ b = a + 2b is not commutative.

A: Show that ∗ : R × R → R defined by        a ∗ b = a + 2b is not commutative.

Q: Show that e 12-1/31 2+3az| 2re?

A: The given inequality is                                           ∮|z-1|=1ezz+3dz≤2πe2 To prove the…

Q: Given: AC BD and ZC AB ZDBA. Prove: AABC ABAD.

A:

Q: 3) If a = 31-2j, b = 7i+5j and c = 9i-j, show that a - (b-c) = (a - b) - (a - c). %3D

A:

Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

A:

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j

Q: 2. Prove that if alc and a + b = c, then alb. 3. Show that if 2a + 1 is a multiple of 5, then 14a² +…

A:

Q: 5. Use the in verse motrices to find CAB) (AD ond (2A 22 ー1 4 /- 3. B. 11 2. 3. 3. 2. 2- 2. N/-

A: Given The given inverse matrices are A-1=12114-121123432-2,…

Q: & B= Q1-Let A = 2 4 Verify that (AB)" = B" A"

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: Suppose z = 7+-8i and w = 9 + 7i. Then Re (2)=?

A:

Q: #1 and #2, write a 2-column proof. Given: 5(2x - 8) = 30; Prove: x = 7 %3D 5C2x-8)3D30 Gioen

A: topic:-simplification

Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: Then prove that 3 (i) P (AUB) > 1 (ii) <P (An B) S 10

A: Answer: From the given data, P(A) = 3/5 and P(B) = 1/2

Q: 1 2 1 -Given that B= 1 -1 0 3 1 1 Show that B,-B,- 6B = 1. Hence, deduce that B' = B² -- B – 61.

A:

Q: I find B such that AB = C. If 5 0 3 A = 2 01 9. C = 3 5 c- (* :)

A:

Q: 4. Show that: do Tb/(a? – b²) - a+bcos0 а b2 Where a>b>0 such that * -1+ 1. < 1 - a²

A: To Show: ∫0πdθa+bcosθ=πba2-b2 Concept: i. 1+tan2x=sec2xii. cos x=1-tan2x21+tan2x2iii.…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: