①Is the matrise A is diagonalizable? If so specify the matrix D ad P and check your work by verifying that D=PTAP. -13 -3 18 A= -20 -4 26 -14 -3 19

Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: Given a matrix A = -2 Find the matrix B if 2B - 312 = A. %3D

A: Given: A= 50-21 Now lets assume B=abcd

Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: Determine whether the matrix -1 -1 -4 A -8 -3 -16 1 7 is diagonalizable. If A is diagonalizable,…

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Q: -2 6. What is the diagonal matrix Find an orthogonal matrix Q that diagonalizes A = 6. A?

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Q: Express the quadratic form (c₁r1 + c₂2+...+Cnn)² in the matrix notation TA, where A is symmetric.

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Q: Find the LU factorization of A = A = 9- -4 E -4 That is, write A = LU where L is a lower triangular…

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Q: Let A be the matrix Compute A50

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Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: Determine whether or not the matrix A work. = 2 2 2 222 2 2 2 is diagonalizable. Show all details

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Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R…

A: Given query is to add -R in diagonal of matrix.

Q: Let A = {ª₁,2,ª3} and B = a₁ =3b₁ b₂, a₂ = − b₁ + 5b₂ + b3, a3 = b₂ − 2b3. a. Find the…

A: a. Find the change-of-coordinates matrix from A to B.b. Find [x]b for x = 2a₁ +3a2+ a3.

Q: We call a matrix B a square root of A if B2 = A.

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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: Use the definition of Ax to write the vector equation as a matrix equation. X1 7 2 - 8 -5 + X2 - 3 9…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Use the definition of A to write the vector equation as an augmented matrix. 0 x₁ + x2 + x3 + X4 =

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 92 29…

A: The given matrix is .The objective is orthogonally diagonalize the matrix.

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: 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…

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the yz plane  by 45 degrees,…

A: We have to find 3×3 matrix that rotates the yz plane by 45 degrees and reflects the x-axis.

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: Find ATA for the matrix. Show that this product is symmetric.

A: The transpose of matrix A is,

Q: Find matrix A, given that: :) 8. -2 2A-1 10 9.

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 2 take inverse on…

Q: 4 Compute x using the vectors w = -2 and x = (Simplify your answer. Type an integer or simplified…

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Q: Use the definition of Ax to write the vector equation as a matrix equation -2 + Z2 - 5 3 +Z4 2 4 Z1…

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Q: Pleasev don't provide handwritten solution ....

A: The LU factorization of matrix A is A = LU, where:∙  L=⎣⎢⎡​1−1−1​011​001​⎦⎥⎤​∙…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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