-12 Find the PA = LDU factorization of the matrix A = 6 -24 13 2 5

Q: Consider the matrix 19 19 A = 19 10A° = 5XT + I2, When solving the matrix equation , the matrix X…

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Q: -6 2 Show that A = and B = 9 -3 are similar matrices by finding an invertible -3 -1 -15 matrix P…

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Q: 4. Use the following matrices and find an elementary matrix E that satisfies the stated equation 13…

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Q: 5 -3 Find the matrix A if (I+ 2AT) ¯ = | 1: -2

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Q: Гз - 12 Find the PA = LDU factorization of the matrix A = 6 -24 13 2 5

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Which of the following about matrix A is not true? A = [1 2 2 3 [3 1 31 3] 1 2]

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Q: -5 -8 0 12. Show that the matrix A = 3 5 0 is involutory. 2 -1

A: We can easily check  whether a matrix is involutory or not. For this, check the square of a matrix…

Q: 4 1 2 5 1 3 - 7 2. 6 14 16 11 1

A: The matrix A can be written as the product of a lower triangular and upper triangular matrix . The…

Q: [1 2 2 3 1 0 1 1 4 4

A: Given matrix is  123101144find LU factorization of a given matrix

Q: - In the matrix equation MAT = H, M and T are square r the size of matrix A? (a) 3-by-2 (b) 3-by-3…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 1) Find a diagonal matrix A that satisfies A-2: [2 0 0 1/4

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Q: 2. Let 2 25 IO -1 23 7 013 and B= 32-1 23-2 A = a) If possible, invert the matnx A b) then solve the…

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Q: 1 A = )Find the rank of a matrix 7 17 1 - 2 | 3.

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Q: -2 5 Find the characteristic equation of the matrix 3 5 C. 22 – 32 – 25 = 0|| D. 2? +72 - 25 = 0 A.…

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Q: -2 2 Find the QR-factorization of the matrix A = 1

A: We have to find QR factorization of given matrix.

Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: -9 -9 -42 -36 Let A = and let B = 3. -8 33 15 Solve the matrix equation for X : 3X = 3A –B. ЗА -В.…

A: Divide both sides by 3

Q: 6. Find a matrix X such that the equation AX = B holds, where A = 4 and 3. В - 1 8

A: see below the answer

Q: (3 (-6 7/ 3 3. If A = -2 2). B =G ) and C =(,"). Find AA™BC. 4 -2. 4 2 (2 3 4 4. Find the co-factor…

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Q: \8 9 (3 2 1 5. Find the co-factor A21 of the matrix 0 -1 \2 2 2 6. Find the co-factor matrix of -1…

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Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

Q: -10 1 Let A = Construct a 4 x2 matrix D, using only 1 and 0 as entries, such that AD = I,. Is it…

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Q: 5. Find if possible a nonsingular matrix P such that P'AP is diagonal. [1 2 a. A= b. A= 4 -8 -8

A: Given matrix  a.) A=122-1 b.)A=74-44-8-1-4-8-1 To find possible a non singular matrix P

Q: Find the QR-factorization of the matrix 2 1 A = 1. -1 -1 121 2

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Q: 1 -2 find A³. Given the matrix A = %3D -5 АЗ

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Q: 1. Find an LU factorization of the matrix A 5 [2 A = [4 L4 3 9. -3 24]

A: In Linear algebra, lower–upper decomposition or factorization factors a matrix as the product of a…

Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

Q: [3 -12 Find the PA = LDU factorization of the matrix A = 6 -24 13 2 5

A: Since your question contains two parts, so we are solving the first part for you. For the solution…

Q: Consider the following matrix: -31 A = -3 -4 9. 1 -2 (a) Verify that A is diagonalizable. (b) Find…

A: Since it is multiple questions with multipart, as per our company guidelines we have to solve the…

Q: 3. Consider the following matrix: -31 A = |-3 -4 -1 -2 3 2 9. (a) Verify that A is diagonalizable.…

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Q: 4. Find the LU factorization of the following matrix (1 1 1V A = 2 3 2 3 8 2

A: according to our company guidelines we can answer first question (if specific is not asked) or only…

Q: 2. Find the LU factorization of the following matrix. 1 1 A = | 1 2 3 1 3 6 /1

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Q: 1 3 Find a QR factorization of the matrix A = 1 4 0 2

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Q: -3 Find the matrix A if (I +2A")¯' = | -2 1

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Q: The characteristic equation of the matrix 23 A = 1 2 is p(1) =22 – 4 2 +7=0. Select one: O True O…

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Q: 8 -6 Find the matrix P that diagonalizes A and the resulting diagonal matrix D. -2 4 4 3 1 D= P =…

A: The solution is given as follows :

Q: 4 1 Find A4 for the matrix A -3 2

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Q: Determine the dimension 31 43 -8 21 Ab X of the matrix. AN

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Q: 7. ). Find all a and 3 > 0 so that the matrix B : 23 6 2 is %3D В 2 diagonally dominant; 12G

A: For a matrix is to be diagonally dominant, there are three conditions or properties, first one is…

Q: Find a QR factorization of the matrix A. -4 10] A = | 2-30| 0 10] Select one: OA. OB. OC. O D.…

A: Let's solve Q and R factorization of matrix.

Q: C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁

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Q: -2 0 4 3 1 -1 -5 -1 1 b) Calculate the rank of the matrix P = 8 2 -12 3.

A: P=1-2043110-1-5-18382-12

Q: 2. Find the diagonal matrix of A : -11 36] -3 10] and P = answer

A: We are given A=[-1136-310] and P=[-3-4-1-1] We need to find D we know that D=P-1AP here P consists…

Q: -11 -8 -9 -7 -4 6 7 10 Consider the block matrix A = What is A11? -2 -6 11 12 5 -1 1 4 A11

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Q: 8 6. Let A -4 -2 Find two different diagonal matrices D and the corresponding matrix S such that A…

A: Given:    2x2 Matrix is given

Q: 1 3 Compute the QR factorization for the matrix A 1 5

A: Since the question has multiple questions but according to guidelines we will solve the first…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.