The vector -3 belongs to P2. 5 Select one: O True O False Question FIf detA = 3 and \( det B^{-1} = 9, Then detAB is Select one: 11 27 3 1/3 O 12

Q: Let v1 vector=[−4  h] and v2 vector =[−10   20]   (check image for reference) Then span(v1…

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Q: Set û= and w= Write as a linear combination of these two vectors For the toolbar, press ALT+F10 (PC)…

A: HHere C1 nad C2 are scalars

Q: Recall that ., /, .- are component-wise operations. Make row vectors a = 0 : 1 : 3 and b [-1 0 1 2].…

A: 1.1 The code and error of the following commands are given below.

Q: Find the unit vector in the direction of <4,2>

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Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: express vector as a product of its length and direction. 1/(3)^1/2 i + 1/(3)^1/2 j + 1/(3)^1/2 k

A: Let the given vector is: v=13i+13j+13k

Q: CI-3/Quart -6x + 15 + 2x 3 iU Font Family AA A

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Q: 28 74.6

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Q: * Find the values for h for which the vectors are linearly dependent: 7

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Q: 3. Prove that ox + 6x -4X12 is irreducible over Q.

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Q: Solve the following vector equation: -4 3 24 4 -3 -3 + x2 -4 + x3 -4 4 -16 -1 -4 19

A: We have to solve the vector equation and find the value of x1, x2 and x3

Q: Given'! I1xl1= 3 Ily 1 X.Y--2 (x-2y) (3x +5y) Sol: 3(4) + 2- 10 19

A: Given:       x=3, y=1, x·y=-2  To find:          x-2y·3x+5y       =x·3x+5y-2y·3x+5y…

Q: what are the examples of contravarient and covariant tensors?

A: Example of Covariant tensor: A'i=aijAj

Q: is the sum of 2 vectors with components and . What is a?

A: To find the value of a, you can use the properties of vector addition.Given that the sum of the…

Q: Assignment: A. Find the general equation of a circle whose center and radius gre:

A: A circle is a locus of points such that the distance from a fixed point is constant. The fixed point…

Q: 3 = [ ¹₂ ], b = [ ³ ], c = [ ¹₁ ], d = [¯^¹'], and v = [¯2²], 5. Given vectors a = (a) Find all real…

A: We are given the vectors and we have to solve given problem.

Q: 5. i ',, Find the solution space and write it as a linear combination of vectors. - x3 + 5x4 X2 +…

A: Given that x1-x3+5x4=0 x2+4x3-3x4=0

Q: Which of the following vectors is opposite of the given vector below?

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Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: Neighboring electronic health records. Let x1,...,xN be n-vectors that contain n features extracted…

A: Identifying the 10 nearest neighbors of a given Electronic Health Record (EHR) in a population of N…

Q: Using the vector r=[0.5 + e-(=/3), €-(2/6), 2], determine the difference between the transpose()…

A: % the value of pi pi=22/7 ; % define given vector rr=[0.5+e^(-j*pi/3) ,e^(-j*pi/6),2 ];fprintf('The…

Q: A vector is written as aî + bĵ. What form is that?

A: A vector is written as aî + bĵ.

Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

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Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: x1-3x2 = 1 -8x1-7x2= 1 3x1+2x2 = 4 -10x1-x2 = -2 You can resize a matrix (when appropriate) by…

A: Answer given below.

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: what if it was the same vector, but 5y^2j?

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Q: swer the following for the vectors v = state University 2023. All rights reserved. 1 3 1 b and the…

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Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: Consider an inner product on two P₂ vectors as (f, g) = f(-1)g(-1) + f(0)g(0) + f(2)g(2): 1) (−4 +…

A: The inner product on two P2 vectors as f,g=f-1g-1+f0g0+f2g2

Q: Use the equations to find əz Әх əz ду II - - əz Әх az Әх and =1 . OF Әх OF az and дz ду 5yz + 3x…

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Q: Write out the expressions a- Va in index notation for vector a

A: Let us consider a vectora→ = a1i^ +a2j^ +a3k^where a1 , a2, a3 are functions of (x1, x2 & x3)and…

Q: That is not correct. The first Vector answer is [-2/3, -1/3, -2/3] (column wise format.)

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Q: v1 = (- 3.7) and v2 = (5.5) vectors Does it form a base for R^2? Why is that?

A: Given V1=(-3,7) and V2=(5,5) To check V1 and V2 are basis for R2.

Q: Why vector of algebra related in maritime industry

A: Vectors are mathematical objects that have both magnitude (size) and direction. In the maritime…

Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: Find a unit vector in the direction of

A: Given that,   vector = <6, 3, 2> = u¯ (Say)   Unit vector = u¯u = <6,3,2>62+32+22 =…