***BELOW ARE TWO DIFFERENT QUESTIONS, PLEASE SOLVE EACH SEPARATELY AND SHARE ANSWERS FOR BOTH. NOTE: PLEASE MARK EACH ANSWER WITH THEIR QUESTION NUMBER.*** Q8) Determine if T: R3 → R3 ,T(x,y,z)=(x+1,y+1,z+1) is a linear trans formation. -------------------------------------------------------------------------------------------------------------------------------------------------- Q9) Let T: R3 → R3 be a linear trans formation such that T(1,1,1)=(2,0,-1),T(0,-1,2) = (-3,2,-1) and T(1,0,1)=(1,1,0) find T(-2,1,0)

Q: Find || projau || if u = (2,4) and a = = (3,-1). NOTE: Enter the exact answer or round the exact…

A: projau=u.aa2a   For two vectors u=u1,u2 and a=a1,a2a.u=a1×u1+a2×u2   For any vector x=x1,x2x=x12+x22…

Q: Suppose B = (2, 5, 1) and AB = (11, 1, 3). Then A=help ( help (points)

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Q: If -y = xy - 3x then find d at the point (-2,6) in simplest form. 1

A: As we know that the differentiation of:- dxndx=nxn-1 (fg)'=f'g+fg' fg'=gf'-fg'g2

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Q: 20: a) Find variables if 3x + y 19 -17 2 [19 2x+3y]

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Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

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Q: Why did the x3 become the one to become t? how do i know what would i choose as the free variable?

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Q: 2₁ Let x = {-5, -4, -3, -2, -1101112,3,4,5} L = {0, x {-5} {-5₁-4},{-5₁-4,-3}, {-S₁-4, -3, -2) A =…

A: Answer given below.

Q: Write v as a linear combination of u₁, U2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: |- 4X

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Q: 3. Let 中- 3x3 ーy2 +4×y+2x-3y-5 find マ中 %3D

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Q: -4.-3-2=1./7i ż 3 나 4.4014)unt write the domain -and range.of. h. Using

A: Given query is to find the domain and range of the graph.

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A: We have to write the linear combination of the given data.

Q: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: Are the following  points collinear    -8,12  3,5 and  25,-9

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Q: Find the adjoint of A (1 2 4 A =3 4 5 2 -2 2

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Q: FinD Z 1. to #a-z°

A: Givenz=-2

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A: A vector space V together with an inner product is called an inner product space. For example: V=ℝn…

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A: Solution

Q: The slops of (-2,-2) and (2,1)

A: Topic:-  Geometry