and = %3D are oignualus of a matrix A Corraspondeng to the egnualuong=2 and >=-2 then = ACTa t Ja)= ard A (20,) = []

Q: I want to know about change of basis matrix and what does it mean by diagonalization of a matrix.

A: Change of Basis:

Q: Find the transpose, A^T, of te matrix.   A =     1 , 2 , 3            a , b , c          4x , 5y…

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Q: rewrite ax^2+by^2+cz^2+dxy+exz+fyz+gx+hy+iz+j=0 in  standard form by matrix

A: The objective of the question is to rewrite the given quadratic equation in three variables in…

Q: Consider a linear transformation T from R to R2 for which T and T Find the matrix A of T. A =

A: We want to find matrix of given linear transformation

Q: Let A = Diagonalise this matrix. That is, find a diagonal matrix D and an invertible matrix Q such…

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Q: symmetric matrix and A1 and alues of the matrix. The 2 1 gen vector is 2 and 1

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Q: How is the matrix of R^−1 obtained from that of R in general, that is, when A = {a1, . . . , am}, B…

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Q: A)  Justify if the matrix A is diagonalizable.B)  Find a matrix T and a diagonal matrix J, such that…

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Q: Consider matrix attatched and vectors attatched, Let w = Ax+y. Write down w2.

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Q: Which of the following statement or statements are always true for a square matrix whose…

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Q: B = {(1, 2, 4), (–1, 2, 0), (2, 4, 0)}, B' = {(0, 2, 1), (–2, 1, 0), (1, 1, 1)} %3D Find the…

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Q: Suppose that you have the following model and data to estimate the following equation Nobs Y X2 X3 1…

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Q: Suppose A is the 3 by 3 matrix ones (3,3) of all ones. Find two independent vec- tors and y that…

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Q: Find the matrix A of the linear transformation from R² to R³ given by 1 0 -8 x2. -4 x1 + 2 -6 T…

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Q: Suppose that Q is 3 x 2 matrix with orthonormal columns then Oa Q'Q +1 Ob QQ" - I OcQ" - Q Od. Q"Q-…

A: The detailed solution along with the final answer is described below.

Q: Find a real matrix A such that A ^6 = (09, -90)

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Q: 2. A frame {B} is located initially coincident with a frame {A}. We rotate {B} about 2B by 60…

A: Given that frame is initially coincident with frame A  Let M be the intermediate position when…

Q: Q3/create a matrix A and 1-add fourth & fifth rows equal to [1 2 3] by using [1 A= 4 2 31 5 6 [7 8…

A: It is provided that A=123456789. A computer algebra system can be used to perform the given…

Q: S)Give an example of a matrix A such that A2 = I but A#I or A± -I.

A: There are so many examples.

Q: Let J„ be the n × n matrix whose entries are all equal to 1, and let D(^1, ... , An) be the n × n…

A: The complete solutions are given below

Q: Let A = [0 1 0 0 ], A^(-1) is equal to: * Does not exist Identity matrix Null matrix

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Q: If A, B, C and D are invertible matrices of same size such that DCBA(BA)-'C-'(C-'D)-' = DA='C². %3D…

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Q: If the matrix of change of basis form the basis B to the basis B' is A = OA. 2 (²₂) OB.-2 OC (-2) 3…

A: Given that the matrix of change of basis B to the basis B' is A=-32-21, then find the second column…

Q: if the chractrestic polynomial of a matrix A is p(^) = (^ +1)(^ - 2)2 then det(-A) +tr (A) = 1 7 -2…

A: As we have 3 roots of characteristics polynomial.

Q: By using the Cayley-Hamilton Theorem, find e^(At) of the following matrix A = [1 2;-2 -3].

A: Given information Matrix :- A=12-2-3 Find eAt using Cayley-Hamilton Theorem.

Q: image1

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Q: Let T: R³ → R² be defined by T -~--~--E) ----B]}~~(~-| ||-~ ~[]) Let B = u₁ U3 = { = [3], , = 6 (ED)…

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Q: Find the coordinate matrix of X relative to the standard basis for M3,1- X = 11 0 STIFT

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Q: Find the transition matrix P from ordered basis B₁ to ordered basis B₂. 1 P = 4 2 2 4 B₁ = {[_^…

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