Find the matrix C' of the linear transformation T(x) = B(A(x)). C = || A = [1] [85] А and B = 3

Q: 2. Let T : R² → R³ be a linear transformation such that T(x1, x2) = (x1 – 2x2, –x1 + 3x2, 3x1 –…

A: By compearing the coordinates wise value we can solve the equations

Q: Find the matrix M of the linear transformation T: R³. →>>> R² given by X1 (J- = -3x1 - x2 + 9x3 2x1…

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Q: A savings account deposit $2000 is to earn 3.5% compounded quarterly. Assuming there are no deposit…

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Q: 4. Let T: R" → Rm be a linear transformation and suppose T(u) = v. Show that T(-u) = -v.

A: Since T is a linear transformation, for any scalar number c, we must have,        T(cu) = cT(u)

Q: Suppose T: M2,2→P3 is a linear transformation. Let A, B, and C be the matrices given below, and…

A: Suppose T:M2,2→P3 is a linear transformation. Let A, B and C be the matrices given below, and…

Q: 11. Find the standard matrix of each of the following linear transformations on R². x * ([1]) -…

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Q: Find the matrix M of the linear transformation T: R → R' given by [821 + (-8)2] 7(E) - 711 + 12 M =

A: The solution is given as

Q: Let T be a linear transformation from R2 into R2 such that  T(1, 0) = (1, 1)  and  T(0, 1) = (−1,…

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Q: 6. (BH) For each of the following linear transformations, determine the kernel, the range, and write…

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Q: Determine a matrix A that describes the following linear transformation. T([*]) = [2x+³] 3y

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Q: 34. The image of the line y = 2x under the transformation matrix ( ) is the line A 7x – 4y = 0 B 7x…

A: We find the image of the line using transformation matrix.

Q: Let A = and B = 4 Find the matrix C of the linear transformation T(x) = B(A(x)). C =

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Q: Let f : R? → R be defined by f((x, y)) = 9x – 7y. Is f a linear transformation? a. f((r1, Y1) + (x2,…

A: It is given that the function f : ℝ2→ℝ is defined by fx, y=9x-7y. We have to check whether f is a…

Q: Which of the following transformations are linear? Y1 = -10x1 OA. Y2 = 6x1 Y3 = 3x1 OB. ( OC. Y2 Y3…

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Q: Show all the work

A: ∙  A=⎣⎢⎡​5−13​217​⎦⎥⎤​∙  T([−26​])=⎣⎢⎡​2836​⎦⎥⎤​Explanation:Given: ∙  T(e1​)=⎣⎢⎡​5−13​⎦⎥⎤​∙…

Q: Let T be a linear transformation from P₂ into P₂ such that 7(1) = x, T(x) = 1 + x, and 7(x2) = 1 + x…

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Q: Let Find the matrix C of the linear transformation T(z) = B(A(z)). C ^-6 87 A and B =

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Q: Let T1 and T2 be linear transformations given by T()- 2x, + X2 X1 + x2 7x, + 6x2 X1 + X2 Find the…

A: Due to bartle policy we can only provide solution of first three subparts. for d) you have to upload…

Q: = (5) Find the standard matrix for the transformations T₁(x, y) (x - 2y, 2x + 4y) and T₂(x, y) = (x…

A: This is a linear algebra question. The standard matrix is find with respect to the standard basis.

Q: T(xy)=Cax?+by?, cx²+dy²) 2

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