1. If a= (-8, 2) and b=(-1,-7) the projection b on to a C-1 ******** .

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: . Let A=[[-9,1],[2,5]]and B=[[6,2],[3,3]], Find A+B   2. let A= [[-1,3],[0,4],[9,-4]]and…

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Q: If 7 - 2 1 8. [1 -2 -2 -4 A =|- 2 3 B = -1 -3 , C =| 0 3 and D= 1 - 4 - 7 [2 - 4 | then find (A' –B'…

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Q: 4- Suppose that A = {x1 = (2,0,1), x2 = (1,–1,4), x3 = (-1,–2,1)} and B = {y, = (-1,0,2), y2 %3D %3D…

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Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

Q: Let ā= (2, 5, 7) and 6 = (1, 3, 4). (a - b) × (a + b) = X (3,16,33) X

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Q: Which is the graph of the function Ax) - 4/x-2-3? a. C. 10 -10 -8 -6 4 -2 2 4 6 8 10 -10 -8 6 4 2 46…

A: Given: We will graph the above function. Domain of  4x-2-3 :  Solution:  x≥ 2  Interval Notation:…

Q: suppose cX) is valued function on such that f?E R Faib] Does it fallows bounded real taib] that…

A: In the given question given that f(x) is a bounded real valued function on [a,b] then we have to…

Q: In the following diagram below, what coordinate should point D be moved to make ABCD a…

A: Answer is following.

Q: f(x) = -12-21x + 18x^2 - 2.75x^3 what method will give a root of the function equal to - 0.287425 in…

A: We will use a numerical method to determine what will be the value of root of the given function in…

Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

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Q: Example. Evaluate (1+1)/(1 - 1). From Figure 5.1 we have 1+iz vie. We plot 1-i in Figure 9.5 and…

A: we have (1+i)21-i=(1+i)21-i×1+i1+i=(1+i)312-i2=1+i3+3i+3i21+1=1-i+3i-32=-2+2i2=-1+i

Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: 1) 2) 3) -3-2-18 O 2

A: As per bartleby guidelines we only give first three question answers. Please repost for other parts.…

Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

Q: (8) IF: A=i+j+ k, B = i +2j - 3k Find A-B, A.B, 2A.3B, A.B, (A+B). (A-B)

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Q: Let (4A)−¹= 2 4 -3 2 Get At.

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Q: Which of the following is the graph of * 4x2 + 13y2 52 %3D 12 V 10 4W2 W2 VF -1412-10 -8-6 -4 -2 olc…

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Q: 2. Find the Domain of the given functions/relations A={(1,3),(2,4),(3,0) B={(1,2),(0,2).(5,4) D={2,…

A: Here, we have to find domain (D) and range (A) of set A and B

Q: Evaluate Sr. (0, 2- z2).d along each of the following paths: (a) the line from (1,-1) to (1, 1), 固助…

A: Integration

Q: (d) Is y in the nullspace of A? (e) Find a nonzero vector in the nullspace of A, or explain why no…

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Q: Verify the relations (5).

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Q: 4. Find z, and z, such that, 2iz, +iz, 2+5i and = 9-11i 3i z,-2i 2, 4 =i+1, z, = 3+4i (b) z, = 3-4i,…

A: Solution:- let z1 and z2 be the different ccmplex number i2= -1 i3=-i

Q: (a) If A₁ = {-i, -(i − 1), . . .−3,−2,−1, 0, 1, 2 }, for i = 1, 2, 3,. . . find (i) Un A6 and (ii)…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let S={(0,-1,1),(0,-2,-1),(1,1,2)}.

A: S?

Q: 1 Give the second component of the projection of 2 -1 -1 2 onto Nul 3 2-2 2 4 -1,

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Q: 0-2.5) R= (9, 4) P= (3, 2) Q= (7, 2) S-(10, 2) N= (0. 0) -1 10 11 -1 T= (-1, -2) L=(4, 2) U= (0, -2)…

A: Shape of triangles KLM, NOP are same and triangles TUV, QRS are same. But to prove congruent nature…

Q: . Let f= {(-4,4), (-2, 4), (1, 3), (3, 5), (4, 6)} and g= {(-4, 2), (-2, 1), (0, 2), (1, 2), (2, 2),…

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Q: Compute a (х + 2) dx. O x3 + x² + C O x² (x² + 2x)+C x2 + 2x ) + C 2 - + C 2 + x2 + C 3

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