5 21 197 Determine if w = -3 is in Nul A, where A =| 13 23 2 8 14

Q: Assume A = 21 2] and B = 1 3 [43] [4 3 11 7 6 show that (AB)' = B' A'

A: Given matrices A and B, To show that AB'=B'A'

Q: * = 1900 0 ,s=200, n= 500 Mo =1800 %3D Q = 0.01 6 is untmoun ノ Ho: 1900 Ha : Nス1900

A: The sample size is 500, the sample standard deviation is 200 and the sample mean is 1800. The given…

Q: 20 2 ompute det B° where B = 1 1 4 1 3 1 et B° = (Simplify your answer.)

A:

Q: In ŷ = bo + b, × In x1 In ŷ = 8.1607 + 1.9982 × In x1

A:

Q: Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

A: Given :  Ai =  0 , i    To find :  The union ∪i=1∞ Ai    and the intersection  ∩i=1∞ Ai   .

Q: 3 2 Let A = Write 2A. Is det(2A) equal to 2det(A)? 1 9 2A =

A:

Q: 2. Prove: A – B = ANB

A:

Q: 27. Show that if a > b, and a, b + 0, then b-l > a-1, provided that a and b have the same sign. What…

A: a > b  ⇒ a - b > 0 Divide both sides by ab      (a - b)/ab > 0 ⇒  1/b - 1/a > 0  ⇒…

Q: 12+1 To prove that if <1, then r 12+2 <2. If r€Q+ r

A: It can be solve using method of contradiction

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

A:

Q: Suppose that a and b are two numbers with this property: for anv e va it is true that azb. Prove a =…

A:

Q: Prove or disprove: if a, b, c e N, then a2 - 6 + 4c + 2.

A: a2-b2≠4c+2 we have to prove this relation in three cases like a&lt;b,a&gt;b and a=b

Q: 2.6.49 9- Use - o or 0o where appropriate = JO au pue ane uouny upeo pug (B)-20) (X u O) JAIR-10)

A:

Q: 2. Prove the following statement directly. V a, b, c e Z, if a | b and a c, then a | (7b + 4c)

A:

Q: 18) If a and b are negative and c is positive, determine whether the following are positive or…

A:

Q: АР 10. In AABC, PB PQ and QC 1 If PQ = v and QB = w, express the following in terms 3 1 of v and w:…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Assume that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35. Find n(A∪B):

A: Given that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35.   From n(B′)=62 we…

Q: 3a + 6ab = 18ab² What is a?

A: see below the answer

Q: Show that if l a - 5 I &lt; ½ and l b - 8 I &lt; ½, then we can conclude that l (a + b) - 13 I &lt;…

A: Given that a-5&lt;12   and   b-8&lt;12. This implies that,

Q: 12 1= A ✩ = OÅ and √ – OẺ . Then, AC is equal to: U= = Oa)-7-7 Ob)-7 Od-+7

A: Topic:- vector algebra

Q: (27) Let X = P(2) and )E(5-5x) finc

A: Given X≈Pλ That is, EX=λ

Q: [2 11 Q2) Assume A = |1 [3 4] 2 4 11 3 6 4 3 and B = show that (AB)' B' A'

A:

Q: 5.7.4. Show that the two formulas (r = y) and (S(r) = Š(y)) in N.

A: Hi, since there are 2 questions given, the first one is answered.  Given - The formula  x=y To prove…

Q: ) Let amd b= 2. 345 2345 3 5 a3D be tuo Pen utations. Then a b = (1 5)(

A:

Q: 2-Prove that: B (m, n)-ß (a,m) 3- Simplify to the simplest: (2+0(1-0) (1+0)(3-2)

A:

Q: What is the value of x?

A: Given, volume of cylinder and radius

Q: Q.31 If a+b+c=5 and ab+bc+ ca=10, then prove that a +b³ +c³ – 3abc=-25 Q.32 Prove that :

A:

Q: 1 2 If A= , then show that |2A|=4|A|| 4 2

A:

Q: Using the fact that in U39, [4]1 = [10), find [16]–1.

A:

Q: 04 Let A = 33 and B = Find 4A + B. %3D %3! 25 -16 O 1) 12 16 7 26 O 2) 12 7 7 11 3) 1216 1

A:

Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.

A:

Q: 1 41 7, then prove that A = A. -8 4 7. If A = 4 4 1

A: Given: A=19-8144471-84

Q: 3 Let A = 4 1 Write 5A. Is det 5A = 5 det A?

A:

Q: If an = n+ 3", n > 0 then choose the correct option a3 = 2a2 – ao +7 az = 2a2 + ao –7 az = 2a2 + a1…

A: Recurrence relation

Q: If z1 = -4 + j5, z2 = -3 - j2, and z3 = 3 - j2, what is the simplified form of 33 17 13 13 61 19 13…

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: Q2/ prove [A] [A] = [I] if [2 4 -5 [A]= 2 7 1 3 4

A:

Q: 7*11*13*15+15 is a _

A: From the given problem:   7×11×13×15+15   As we know that the order of mathematical operations is:…

Q: Г (4) %3D 12 аО 24.b O 4..0 6.dQ

A: Using the formula Γn=n-1!

Q: 13. 15-16) Which of the following expressions is equal to (2 Points) (4y + 1)(16y2 – 4y + 1)? -

A:

Q: 1/2% of $800 is $?

A: the given question is from the percentage and we have to find the half percent of the $800 is what…

Q: 8.) z = 24 45 n to determine if the following are right write yes or no.

A:

Q: 9) Determine whether AMNO = AQRS. Explain. M(0,-1), N(-1,-4), 0(-4,-3), Q(3,-3), R(4,-4), S(3,3)

A: Given, M0,-1;    N-1, 4;    O-4, 3Q3, -3;    R4, -4;   S3, 3 We have to determine whether  ∆MNO…

Q: 3 13 4)2 =V81, state true or false. 4 Compare the following with , or = %3D 25 Answer: m/2

A: Given:  (1) 13 - (√4)2 = √81 (2)  √(5/2) ?  3/2

Q: 3. Let r and y be positive integers. If r divides y and y divides r, then r y. 4. Let a, b, c E Z.…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 125 Let A = 0 1 -2, B -0 -1, and C= %3D 061 -5 6. 4 Then which of the following is true?

A: Introduction: Matrix multiplication is defined when the number of columns in the first matrix equals…

Q: If m 3 = 2x°, then what is m 5? 1. 7. 8. O 90° O 180° - 2x° O x° O 90° - 2x°

A:

Q: 1 5 Given A determine whether 4A?-5A- 121 = 0. 3 3 Select one O True O False

A:

Q: Prove (without expansion) a b c d |-b -d d -b = (a? + b? + c? + d?)? a a |-d -c b a

A:

Q: 4°c2, 4°c3 Let S = 1+4³c+ 2! 412c4 + 4! 3! If In S = 1216, then find c.

A: Here we use exponential series.