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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CR: Review Exercises

Problem 56CR

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A, characteristic polynomial A4 (x) = (x – 2) (x + 2)°, Let be a rational matrix whose minimal polynomial is 8A(x) = (x – 2)(x+2)2
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Find the normal form of the characteristic matrix of A and the rational canonical form of A.

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Material Price($/ton) Quantity purchased (tons) May June July 1 300 5 4 6 2 550 3 2 4 3 400 6 5 3 4 250 3 5 4 5 500 2 4 3 QUESTION: Create a 5x3 matrix containing the amount for each item for each month Compute the total spent for each month Compute the total spent on each material in 3 months period Compute the total spent on all materials in 3 months period Find a polynomial whose roots are 2 and 5 ± 3i. Then evaluate the polynomial at x=0 to 10 using the syntax polyval at specified values of its independent…
Material Price($/ton) Quantity purchased (tons) May June July 1 300 5 4 6 2 550 3 2 4 3 400 6 5 3 4 250 3 5 4 5 500 2 4 3 QUESTION: Create a 5x3 matrix containing the amount for each item for each month Compute the total spent for each month Compute the total spent on each material in 3 months period Compute the total spent on all materials in 3 months period Find a polynomial whose roots are 2 and 5 ± 3i. Then evaluate the polynomial at x=0 to 10 using the syntax polyval at specified values of its independent…
d) A square matrix with the characteristic polynomial λ5 − 3λ4 − 2λ3 + 5λ2 − 4λ + 2 is invertible (attached in image). True or false. e) If A and B are similar then both of them are diagonalizable. True or false.
.Find the characteristic polynomial of the 3 x 3 matrix, A, where
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Diagonalize the quadratic forms by finding an orthogonal matrix Q such that th e change of variable x = Qy transforms the given form into one with no cross-product terms. Give Q and the new quadratic form. x12 + x22 + 3x32-4x1x2
1. Matrix A has dimension m x n and Matrix B has dimension s x t. Design conditions for m, n, s and t so that both matrix products AB and BA are defined.
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