1. Let A- 3 -7 3 B. e not avell depnedjuhy. 5 -3 -2) If well defined, Compute tice that are. ) Z A + C (1) c"AB (1)

Q: a a +1 2² (² + ¹ + x² = 1 [(¹-x)² + (1 + x)² ] F1 2 2 2

A:

Q: 2. Let A = 201-18 and /= 2 1 1 2 01 Find A(A+1).

A: A=[2 1      1 2]I=[1 0      0 1]

Q: 1) Let A = {Ø,0, {1}, {0,{1}}}. Answer by true or false to the following statements: ii iii iv V…

A: Power set: A set PA is said to be a power set of a set A if it contains all the subsets of the set…

Q: Find the result of the operations indicated in each of the following problems using formulas (F-01)…

A:

Q: Ex(30) and fYx show that of - Ix Exlz0)& Lekf:Xy be fIxYbe be it is

A: Introduction: The function f(g(x)) or (f ∘g) represents the combination of functions f(x) and g(x),…

Q: Show that 1 1 1 x2 y? z2 (y² – a²)(z² – a²)(z²? – y²) - - ,4

A:

Q: 3xt lim x0 5x4 +3x3 + 9x3 is А. 6 B. does not exist С. 2 D. 3

A: Given, limx→03x4+9x35x4+3x3

Q: Expond lap(cora) in powers of (x-2) wing Taylon's Thusem

A: The given function is: f(x)=log(cos x) To expand the function using Taylor series around a=2 using…

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

A:

Q: Let (4A)−¹= 2 4 -3 2 Get At.

A:

Q: Suppose the multiplication cx is defined to produce (cx1, 0) instead of (cx1, cx2 ). With the usual…

A: The multiplication cx where x∈ℝ2 is defined as cx=cx1, 0 because x=x1, x2 where x1 and x2 belong to…

Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

A:

Q: 5 7 8 10 2 3 Let A= and B= . Compute 4 5 (a) AB (b) (AB)"

A: Given A=57810B=2345

Q: (1) and (.), (.) dz = Find the number of terms in where z = gu, v/ and u

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Hiw.sLetAzi+j-2K,b=-i-k and c=zi+uj-zk,finds t Ax(B+C)- 3 CA-B)xC s-(AXB)ec 2- A (2B-c) 4-2Ax 3B 6-…

A:

Q: 10. Let a = (1,-1,2), b = (2,0,−1), and = (3,-2,0). Evaluate or explain why the expression is…

A: The vectors:

Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

A:

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

A:

Q: Show that A × B ≠ B × A, when A and B are nonempty, unless A = B

A:

Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: (d) The third quartile for X 提交答案| Tries 0/5 (e) the IQR for X 提交答案| Tries 0/5 (f) P(IX-216|> 41)

A: Given : Let X be a r.v X~N(216 , 18) Here ; μ=216 σ=18

Q: 8. Which of the following is a derived rule? • A→ BH (3x) A → (3x) B • (Vx) (A → B) + (3x)A → (3x) B…

A: Please visit the next step for details

Q: リ ー上 5, Use the inverse imatirice s tofind and (24) 22 3 ミ 3. 3. 3 -2

A:

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              => k(15 - 13) = 2k for any integer k              => 15 k -…

Q: 2. Find (w + 1)(w-w+1).

A:

Q: 18. Which of the following functions are NOT differentiable at x =0? Iy=V9-r II. y = x% III. y = x%…

A:

Q: 249 2 Let A- 012 B- 0 -2 C - Find (A- BCT". 659 3

A: Solve the following problem as shown below step by step procedure, please refer below.

Q: 7. Establish for A is m × n and B, C are n x p, that A(B+C) = AB + AC

A:

Q: P.3 Evaluate d dx**+2x]

A: Given that, ddxx2+2x we have to differentiate given function with respect to x

Q: . Let A = 1 03 2 3 4 1 02 Find A-¹ if possible. If A−¹ does not exist, explain why.

A: Given that a matrix A  and we find the inverse of this matix A or A-1.

Q: a+2b 2 Let W = :a,be R}. Show that -4 lies in W. 2a -1

A: