20 20 Suppose that a matrix A is diagonalizable and has the characteristic polynomial det(A – AI) = X(A – 3)°(A +2)²(A – 4)². Let (m x n) be the size of the matrix A. Which of the following numbers correspond to the matrix A? Select one alternative: m x n=7 x 7, rank(A) = 6, dim(Null(A+ 21)) = 2 m x n= 4 x 7, rank(A) = 1, dim(Null(A+ 21)) = 2 m x n= 4 x 4, rank(A) = 6, dim(Null(A+ 21)) = 2 O mxn=7x7, rank(A) = 1, dim(Null(A+ 21)) = 2 none of them Reset
20 20 Suppose that a matrix A is diagonalizable and has the characteristic polynomial det(A – AI) = X(A – 3)°(A +2)²(A – 4)². Let (m x n) be the size of the matrix A. Which of the following numbers correspond to the matrix A? Select one alternative: m x n=7 x 7, rank(A) = 6, dim(Null(A+ 21)) = 2 m x n= 4 x 7, rank(A) = 1, dim(Null(A+ 21)) = 2 m x n= 4 x 4, rank(A) = 6, dim(Null(A+ 21)) = 2 O mxn=7x7, rank(A) = 1, dim(Null(A+ 21)) = 2 none of them Reset
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q20
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Transcribed Image Text:20
20
Suppose that a matrix A is diagonalizable and has the characteristic polynomial
det(A – AI) = (A – 3)²(A +2)²(A – 4)?.
Let (m x n) be the size of the matrix A. Which of the following numbers correspond to the matrix A?
Select one alternative:
O m x n=7x 7, rank(A) = 6, dim(Null(A+ 21)) = 2
m x n= 4 x 7, rank(A) = 1, dim(Null(A+21)) = 2
O m x n= 4 x 4, rank(A) = 6, dim(Null(A+ 21)) = 2
O mxn=7x7, rank(A) = 1, dim(Null(A+ 2I)) = 2
O none of them
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