Find a matrix K such that AKB = C given that 1 4. 85 72 -54 A = -2 3 5 B = C : 50 32 -24 4 1 -2 -35 -24 18

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Q: Prove the formula for a nonsingular n × n matrix A. Assume n ≥ 2.adj[adj(A)] = ∣A∣n−2A

A: We  start with the fundamental equation: A.adj(A) = |A|In

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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: For the matrix For the matrix 14    −5    13    18    3      −8    16    19   −16  12   1    −5…

A: Given matrix is 14−513183−81619−16121−50−52−18−317−1219. We have to find the elements of 1,1, 2,2,…

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

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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. find a matrix P that diagonalizes A, and compute p-AP. [500] Го о о A= 150 015 000 301

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Q: (b) Write down a possible matrix A such that when we apply the above elementary matrices, we get an…

A: Given: The 3 by 3 matrices that produce the elimination steps. E21 subtract 4 times row 1 from row 2…

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 K such that AKB = C given that 1 4 85 72 -54 -2 3 B C 0 4 -3 %3D 50 32 -24 -2 -35 -24…

A: We have to find matrix K such that  AKB=C.

Q: Consider the following matrix: Let A= [-26 -7] [-13 17] [6 -49] [35 45] [5 -4] Step 1 of 3 :…

A: Consider the given matrix A=-26-7-13176-4935455-4

Q: Find a matrix K such that AKB = C given that 1 4 66 40 -60 3 A -2 3 33 8 -12 1 -2 -24 -8 12 i K = II…

A: Given matrices, A=14-231-2,B=30002-3,C=6640-60338-12-24-812 The objective is to find the matrix K…

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Q: Consider the following statements: 1 4 -6 0 0 9 1 7 I. The matrix is stepwise. II. If A is a square…

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Q: of |4|. örthogonal matrix Q. B C Q6. If A = D where B,C,D,E are n by n matrices, find |4 when BD =…

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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: Find a formula in terms of k for the entries of AK, where A is the diagonalizable matrix below. 13…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1. Find a matrix K such that AKB = C, given that: 1 4 8 -61 -1 6. [2 0 ; B = 6 -2] A = -2 3 ; C: 6 1…

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Q: 5. Calculate the L and U matrix and proof that PA=LU. 10 -7 0 A = -3 26 5 -15

A: Firstly I find lower triangular matrix LL and an upper triangular matrix UU And the show that PA=…

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 k such that the following matrix M is singular. 3 -21 M = -6 -7 1 -3+k -17 4 -66 %3D

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Q: Find the elementary matrix Ej such that EA = B where 7 A =4 -11 -1 and B = 4 -11 -1 5 6 5 1 12 1 12…

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Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

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Q: 1 1 1 A =1 1 1 1 2 1 . How many nonzero elements are there in the adjoint matrix of matrix A?

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Q: 24. Let a matrix B is defined as [2 1 -1] B = 3 2 -3 L3 1 -2 Find, a) a nonsingular matrix P such…

A: The given matrix is: B=21-132-331-2

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: 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: Decompose the given matrix as indicated: [25 5 41 [1 10 8 16 = 8 12 22 13 00 22 ls2 10 0 Us. Answer:

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Q: What matrix E puts the matrix A into an upper tr 4= U? Show your work! 210 042 A =

A: Introduction: In linear algebra, LU Decomposition, also known as lower–upper (LU) decomposition or…

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: Create the following matrix H: 1.25 1.5 1.75 2 2.25 2.5 2.75 H = 1 3 1 2 3 4 45 40 35 30 25 20 15…

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Q: Find the indicated matrix. Find -4A - 5(A - B). 4 8 A = 9 8 01 and B = 4 8 2 -1 -6 5 T-36 -2 51 39…

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Q: Reduce the following matrix A to a diagonal form (A') by integer row and column operations and…

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A: Let's find.

Q: Find a matrix K such that AKB = C given that 1 4. 132 95 -38 A = -2 3. B = C = 66 30 -12 %3D -2 -2…

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Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below. -3 8…

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Q: The communication giant Omantel company uses satellite for intercontinental communications assuming…

A: Solution of part (a): For (n, k) block code, if H=In-k PT, then G=P Ik. where H is a matrix of order…

Q: 2. Compute the matrices D, P such that D =P-'AP. Verify the equation holds. [7 5 0 A 1 0 1

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Q: 4. (a) Show that the following matrix is diagonalizable. (b) Find a matrix P that diagonalizes A.…

A: Given:

Q: 4. (a) Show that the following matrix is diagonalizable. (b) Find a matrix P that diagonalizes A.…

A: A matrix is said to be diagonalizable if the algebraic multiplicity of the eigen value is same as…

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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…