a,b eR and a² + b² #0. Show that (G,*) b) Let G be the set of all 2x2 matrices where * is the matrix multiplication forms a group. c) Let (G,+) be a group. Then (G,+) is abelian if and only if (a - b)² = a² + b² for all a, b e G.

Q: Find n and sn  If a = 5 , d = 3 , an= 50

A: Given data: The first term of an A.P is a=5. The common difference is d=3. The number of term in A.P…

Q: Find n and sn  If a = 5 , d = 3 , an= 50

A:

Q: If a = 4, y = 3, then 3a + 5 = 20 - y Select one: O True O False

A:

Q: Write out the equation for the given graph: y =

A:

Q: 3 Let A= (MA-|| _23]~B-[2²] and = 6-9 -4 -6 Find - 2A + 2B. - 2A + 2B=

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Q: 1+1=2. Select one: O True O False

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Answer questions:  1) -2/3 2) -4/3 3) 4/3 4) 0

A: We have to evaluate limx→-3+f(x) g(x)3.

Q: Find a, b, c, and d, if а b 1 3 d 2.

A: A matrix is an object with certain number of rows and certain number of columns. An entry in a…

Q: b с d NI- NEW WE -2

A: Given query is to find the value ofnthe indicated trigonometric function.

Q: If -4 -1 A = [-1 -1 -3 -2 2 1 2 2 determine the following entries: a31 = a22 = a14 =

A:

Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

A:

Q: Find the values of a, b and c if: 21 l6 2a 21 7 2 +2b 2 3 -b

A: When a constant is multiplied to a matrix, then every element of the matrix is multiplied by the…

Q: Multiply and simplify: V15- V3 b. 7V4.5V V&r*y?. V&ry. а. c.

A: The product property of roots is stated as below. For any real numbers, an  and  bn, for any integer…

Q: 4c + 36 ÷ 3 + 4(1+2) if c = 5

A: BODMAS Rule: B - Brackets O - Order of powers or roots D - Division M - Multiplication A - Addition…

Q: If a b=2a- 3b+1, what is 3 (-1)? a. 4 b. 10 C. 8 d.-1 b

A: Compare 3*(-1) with a*b, a = 3, b = -1.

Q: सर्व रण् सानसात म0

A:

Q: Determine the absolute extreme values of f(x) if the graph of f'(x) is shown b ↑f'(x) -5 -4 -3 +2 7…

A: We are asked to find the extreme value of the graph

Q: Perform the indicated operations when A= A(I + A) = = -1 2 [4² 0 1

A:

Q: An= -An-1+12An-2; A0=2; A1=16 Calculate A3

A:

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: Find AB given that: 2 -4 170 A -35 11 and B- 0 -2 8.

A:

Q: If a * b denotes a² – ab + 2, find the value of 2* (3 * 2). What is the value of x if x * 3 = 0? %3D

A: Given a * b = a2 - ab + 2

Q: 1. Evaluate: xydydx

A: The given integral

Q: 4x2 + 4xy + y2

A: Given query is to simplify the expression.

Q: but when u substitute x = 12 hours x 6 + y = 4 hours x 8 = $104 which is not $120

A: Let x and y be the working hour at ABC and LMNO respectively.  The objective function(minimize the…

Q: Find, if possible, (a) AB and (b) BA.

A: A is a 3x3 matrix and B is a 3x1 matrix So the product AB will be possible. Because the number of…

Q: MR=5(a+9) and MP=13a+42

A:

Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

Q: 1 -1 2 2 1 -1 A = 2 B = 1 3 2 4 C = 1 -1 4 -4 Find A - B, A+ B, and A + C.

A: Here, A and B are of the same order so A-B and A+B is possible but A+C is not possible because A and…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Given that A=6-j1 and B=2+j3, find A*B

A:

Q: If a = (3, –3, –10) and b = (-8, –4, –10) find a · b =

A:

Q: :find A+B?C 4 B = -3 2 0. If A = %3D [2 1 4 02

A: A=1421B=-3240C=1002 Now, using matrix multiplication- B2=-3240-3240B2=17-6-128

Q: Given x1 = 1, x2 = 4 and x3 = -2, %3D %3D

A:

Q: Show that AC = BC.

A: The given matrices are To show that AC=BC Find the product of matrix A and matrix C

Q: If r is negative, b₁ can be either positive or negative. Select one: O True O False

A: It is given that r is negative.