X= 2 is an eigenvalue of each matrix below. Match each matrix with the correct pair (algebraic multiplicity, geometric multiplicity) that describes the multiplicities of this eigenvalue in each case. 14 4 A= -2 -12 B= 1 3 [20 C = 0 2 12 -6 D= 3 -10 3 -12 8. A [ Choose ] B [Choose] [Choose ]

Q: 8 -3 0 7 9 2 -1 0 2 0 0 8 O O

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Q: 4-4 %3D 256 log4 = -4 256 log 4 256 = 4 log i 4 = -. 256 log 1 -4 = 4

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Q: 12+3i 1) A = 7+4i -12- 6i -5-7i -1+i 3-i a) This matrix is diagonalizable b) The P matrix would be…

A: Given: A=12+3i-12-6i10+4i7+4i-5-7i7+4i-1+i3-i1 The eigenvalues of A are λ=2-i, 2-3i, 4.

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Q: find the eigenvalues of each matrix and determine a basis for each eigenspace. -3 -12 0 0 30 -4 -8

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Q: 2. Let e = |E, e2 = |E2, d = |D| be non-zero cardinal numbers. Prove: If e <e then ef <e.

A: Given: e1=E1, e2=E2, d=D are non-zero cardinal numbers. To Prove: If e1≤e2 then e1d≤e2d.

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below, and…

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Q: This matrix has repeated eigenvalues for which value(s) of a? M= a -1 4 4

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Q: Suppose matrix A as follows: 2 -17 3 -2 0 ^ = [2 -1 a. Find the eigenvalues and eigenvectors of the…

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Q: Determine if A is an eigenvalue of the matrix A. 0 0 A = 0 -2 0 A = -8 -3 2 0 0 0 A = 7 -3 0 d = 4…

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A: It is know that, 'Any n×n matrix A has n distinct eigenvalues then it has n distinct eigenspaces'

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Q: The eigenvalues of the matrix 0 are: Select one: a. 0,0,0 b. 0,1,-1 C. 2,1,1 d. 0,1,1

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Q: Determine if v is an eigenvector of the matrix B -47 26 2 B = , v = -78 44 -5

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Q: nd homeworks are allowed, each student must write and submit their own, independent solutions. Let T…

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Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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