A6 Suppose = A - Find an invertible matrix P and a diagonal matrix D so that A of P, a power of D, and P-¹ in that order. = 7 4 -8 -5 PDP-¹. Use your answer to find an expression for Aº in terms

Q: Compute each matrix expression and show your work, if 2 1 - -1 2-2 A= 0 3 1 B = 30 5 -42 0 4 1 3. -…

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Q: find the inverse matrix  of 1 1 -4 -2 -1 7 1 -1 -1

A: To find The inverse of the given matrix

Q: t matrix B= 5-21 4-2 what is The 2. 3. 1-12 -12 reduced Yow echelon form of 6 B.

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Q: Find the matrix of the quadratic form. Assume x is in R³. a. 2x² +8x² − 3x²3 - 10x₁ x₂ + 8x₁×3 −…

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Q: and the SUD of the following am A= 11 94040 220

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Q: Perform LU factorization for the following matrix. 1 1 1 1 L8 2 1 81 - 84

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Q: [3] 37 Let A = Write 2A. Is det(2A) equal to 2det(A)?

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Q: For the two matrices shown, find the * addition 2 1 1 - 2 - 1 1 -1 + - 2 1 3 2 1 2 -1 1

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Q: Find a matrix X that solves the equation 1 2 3 4

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Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

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Q: 5 2 ; B = -2 -2B

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Q: om: A is a matrix such that A2 + 5A 10. Show that A is invertible and A-1 = A + 51.

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Q: Express the quadratic form (c₁x₁ + €2₂x2 + ... + Cnn)² in the matrix notation TA, where A is…

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Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: メ= P 10 a Cす ナ イイ イ2 9イ 213 913 イイ 15 b/4 6. m 16 17 18 c/7

A: The matrix multiplication of two matrices: A=[aij]m×n and B=[aij]p×q will result in the following…

Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

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Q: O Solve the following matrix equation for the matrix X: +2X + 2 3 diag(2,3) 8 6

A: We will solve this equation and find the value of matrix X.

Q: matrix A if (A" – 21)* = } Determine the matrix A if %3D

A: Given,             12AT-2I-1=1234To find : The matrix A.

Q: Diagonalize the following matrix, and then find A¹0. A = 1 6 0 -

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Q: Find the power of A for the matrixA16

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Q: Let B be a 5 x 5 matrix such that each row of B contains every number from the following list…

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Q: Q2) Factorize then solve the following matrix (2 -1 1) 4 ()- 3 3 9 =| 45 3 5. \29,

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Q: Find the LU factorization of the following matrix: 203 1 3 1 01 1

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Q: Diagonalize A = 12 0 2 1 0 00 - 3 and compute A2019

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Q: The matrices [2 1/2 1² 1] and [33 }] are row equivalent. -1 0 -2 LO A True B) False

A: Given matrices are 1-10211and 301031 Now find the given matrices are row equivalent or not:

Q: Use elementary matrices to find the inverse of

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Q: Find LU factorization for the following matrix. 6 3 1 X = |-6 0 -16 8 -17]

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