Let A be the following matrix 6 7 4 9 5 9 1 3 4 After diagonalization, P and D are found such that A = PDP -1. Find the trace of D. %3D

Q: find an elementary matrix E that satisfies the given equation EC = D

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Q: Decompose the given matrix as indicated: [25 5 0 0 141 0 0 4 1 U12 13 10 8 16 = 1 12 22 (31 (2 1 0.

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Q: Find the elementary matrix E such that EB = A where 2 -12 2 1 1 A = 4 0. -2 and B = 24 %3D | 6. -8 3…

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Q: Let A be the following matrix 1 7 4 9 4 7 3 4 3 After diagonalization, Pand Dare found such that A =…

A: We use the following theorem: If A and B are two square matrices of order n, then trace of…

Q: Find the elementary matrix E such that EB = A where %3D 2 3 1 2 3 1 A = 4 -3 -2 and B = -8 6 4 7 -6…

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Q: Find the elementary matrix E such that EB = A where %3D 5 4 1 ] 4 1 A = |4 |7 -6 1 -1 and B = |12 3…

A: EB=A multiplying with B-1 on both sidesEBB-1=AB-1E=AB-1

Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

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Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

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Q: Find a matrix B such that AB = I, where 4 1 1 0 A = and I = -4 4 1 a b Hint: Let B c d B =

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Q: Find a formula in terms of k for the entries of A where A is the diagonalizable matrix below 17 16 A…

A: Result: Let A be a diagonalizable matrix. Then, A=PDP-1 where columns of P are eigen vectors of A…

Q: Decompose the given matrix as indicated: [25 5 4 10 8 16 = 1 0 0| 41 12 13 l21 C31 32 1 1 0 0 12 22

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Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

A: Find the eigen values:

Q: 2. А %3D [0.7 0.1 Lo.1 0.7

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Q: The identity Matrix is defined by 1 1 а. 1 1 1 0 1 0 1 с. 1 0 1 d. 1 1 Select one: а. а 6.

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Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

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Q: sum

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Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

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Q: Let A be the following matrix 6 5 3 4 5 9 3 1 4/ After diagonalization, P and Dare found such that A…

A: The solution is given as

Q: Let A be the following matrix 4 5 3 6 4 8 2 4 3 After diagonalization, Pand Dare found such that A =…

A: Use the following theorem: If A and B are two n by n matrices, then trace of (AB)=trace of (BA)

Q: Let A be the given matrix. Find A-1 without a calculator. 00 1 A=100 010 A 1

A: The given matrix is A=001100010

Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

A: Consider the given matrix, Find the eigenvalues of matrix A. λ1=4,  λ2= i, λ3 = -i The eigenvector…

Q: Find the elementary matrix E such that EB = A where 4 1 2 4 6. 1 A = 2 -3 -1 and B = -4 2 6 -8 -8 2…

A: To find E such that EB = A

Q: Let A be the following matrix 5 8 5 5 9 1 After diagonalization, Pand Dare found such that A =…

A: To find the trace of D we will use the fact that some of eigenvalues of a matrix A is equal to its…

Q: 2. Decompose the given matrix as indicated: [25 5 4] 10 8 16 8 12 22 1 Answer:

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Q: The trace of a square matrix B is defined as the sum of the elements of the main diagonal of matrix…

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Q: Let A be the following matrix 6 7 4 9 5 9. 3 4 After diagonalization, P and Dare found such that A =…

A: Use the following theorem: If A and B are two n by n matrices, then trace of (AB)=trace of (BA)

Q: Find a formula in terms of k for the entries of A", where A is the diagonalizable matrix below. 4 -2…

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Q: Let A be the following matrix 3 7 4 8 4 7 1 2 4, After diagonalization, P and D are found such that…

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Q: Given Matrix A: A = |1 0 3 15 1 2. Diagonalize A Using the diagonalized form, find A Find e4t using…

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Q: Find a formula in terms of k for the entries of A", where A is the diagonalizable matrix below and…

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Q: Let A be the following matrix 7 4 4 4 After diagonalization, P and D are found such that A PDP !Find…

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Q: a) If a n x (n + 5) matrix has rank n, find dim Nul A, dim row A and rank A".

A: Given n=2 Matrix A is 2×7 matrix  We need to find dim(Nul A) ,dim(row A) and rank AT

Q: Find a formula in terms of k for the entries of A, where A is the diagonalizable matrix below. 5-6 A…

A: Here we have to find a formula in terms of k for the entries of Ak, where A is the diagonizable…

Q: If A is a 2x2 matrix such that trace(A) = det(A) = 3, then what is the %3D value of trace of (A-!) ?…

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Q: Let A be the following matrix 6 5 3 4 5 9 3 1 4 After diagonalization, Pand Dare found such that A =…

A: Use the following theorem: If A and B are two square matrices of order n, then trace of (AB)=trace…

Q: Let A be the following matrix 9. 1 9. 3 2 4 After diagonalization, Pand Dare found such that A =…

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Q: Find a formula in terms of k for the entries of AK where A is the diagonalizable matrix below. 5 6 A…

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Q: •(b) A = B:

A: Given,        A=-1201,   B=1-201

Q: Consider the following matrices. 1 A = 1 B = -2 -2 10 -12 8 Find an elementary matrix E such that EA…

A: Topic:- matrix algebra

Q: Find a Matrix P that nationalizes A, and check your answer y computing PDP¯1 0 00 0 0 0 30 1

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Q: Let A be the following matrix 8 8 3 4 5 8 4 2 3 After diagonalization, Pand Dare found such that A =…

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Q: Find the elementary matrix E such that EB = A where 2 1 3 1 A = |4 -1 -2 and B = –16 4 8 9 -7 4 9 -7…

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Q: Let A be a 2x2 matrix satisfying the following conditions: A and A 12 -1 For which of the following…

A: Explained below

Q: Find the matrix A such that 1 0 A = -1 -2 9. 7 11 a b Hint: Let A = c d A =

A: If two matrix are equal then all elements of matrices are equal. In this question first we find…

Q: Find the elementary matrix E such that EC = A where %3D 4 4 A = |3 -1 and C = 3 0. -1 9 -8 19 0 4 ?…

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Q: Let 3 -5 B = -3 Compute the indicated matrix. (If this is not possible, enter DNE in any single…

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Q: Let A be a 3 x 3 matrix such that det(A) = 12. Suppose B is obtained from A by applying the…

A: We have to find the  det(B).

Q: Let A be the following matrix 2 8 4 448 353 After diagonalization, Pand Dare found such that A = PDP…

A: Use the following theorem: If A and B are two square matrices of order n, then trace of (AB)=trace…

Q: Let A be a 2x2 matrix satisfying the following conditions: 9. and A 12 2 A 4 4 For which of the…

A: Let A be a 2*2 matrix satisfying the condition: