Let -1 2 2 A = 1 -1 0 and U =|-2, then determine if %3D 3 -1 2 U is in Nul A. U is in Col A (i) (ii)

Q: Determine x and y such that 4 -1 -2 x - Y -4 -3 8 -5 -5 4 1 6 2x + y 1

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Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: -11sin (z)dz -

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Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

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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: A [(0,6) U (7, 12)]n (2,9; B= A\({1,2, 4} U (3, 5)) and C = BU{11, 8}. Give an explicit and fully…

A: This is a problem of point-set topology.

Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: 3xy If z determine 2x - 3y

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Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

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Q: Suppose a time series of returns r, follows the following recursive formula: = (1 — αL)(1 — BL³) at…

A: The question presents a recursive formula for a time series of returns, denoted by rt, which…

Q: As of a study conducted in France investigating the effectiveness of the drug mifepristone part (RU…

A: The random variable successfully terminated early pregnancies follows binomial distribution. The…

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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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: Let Xvuniform(0,8) then E(x-2)

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Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: D = 3 1 50-4 -4 5 3

A:

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: Let á (5, 5) and 6 = (- 3, 1). - Find ā · 6

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Q: Evaluate [fxcos (y)d4 , R=[-2,3]×| 0,- 2 R

A: Introduction: When the integrand the a function of two variables, we follow the double integral.…

Q: 2. Let T=

A: Given that, T=22-1-163201 We have to find adjoint T.

Q: 1 -1 2. Let A = and u = 3 -3 -5 -3 (a) Is u in Col(A)? (b) Is u in Nul(A)?

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Q: he following statement true or false? (Note that a true statement mus e.) The probability of Type I…

A: We have to state wheather statement is true or false.

Q: (z+ 1)dz (z² + 2z + 2)3(z + 1)dz J Vzz + 2z + 2 1 (z2 + 2z + 2)3 +C 3 (z2 +2z+2)2 +C %3D Not Correct…

A: ∫xndx=xn+1n+1

Q: Solve 2y-y² sec²(xy²) + (2x−2xysec² (xy²)) y'= 0; y(1) = 2

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Q: Evaluate Conditions. pum テ=(6)V:s「(4s te return

A: In 2 quadrant sinx and cosecx is positive. Otherwise, all other trigonometric values are negative.

Q: Let å = (2,0, – 3) and b = (0, 1, 5). Find b x a.

A: Given query is to find indicated vector.

Q: how that ℝ3 = span( 1 1 2 1 2 1 0 3 -1

A: We want to show that  any vector can be written as linear combination of the three  given vectors…

Q: 1-2х 1 2х+1 а.) 2х-3 х = 1 - х-1 b.) /2х — 2-Vx +6+1-0

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Q: Let y = = 5 + 4 ՂԱ - and ux³ - 2x. =

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Q: Determine x and y such that -2 4 -2 + -6 -4 -1 1 2 4 4 2x +y x = y =

A: When two matrices are added, then their corresponding elements are added. For example, abcd+efgh=a+e…

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

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.