Repeat the previous question for
assuming
29. The matrix
has eigenvalues
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EBK DIFFERENTIAL EQUATIONS AND LINEAR A
- For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of multiplicity 2. b A has 1 and 2 as eigenvalues. c A has real eigenvalues.arrow_forwardFor matrix C, find the associated eigenvalues. c=15₁ 31 C -1 01 and 5 O4 and 3 O-5 and 2 O4 and 6arrow_forwardQ2arrow_forward
- For the 2 × 2 matrix A, indicate which of the following vectors are eigenvectors, and for those that are eigenvectors, give the corresponding eigenvalue.arrow_forwardWhich matrix has 3 as an eigenvalue? Select one or more: 6. -6 4. -4 9. -9 -6 O3 3 3 3 3 3 1 0 1 0 0 0 1 8. The eigenspace of the matrix C = 18 -3 corresponding to the eigenvalue A = -1 is given by C@ £ & %24 16arrow_forwardSuppose A is a 2 x 2 matrix with eigenvalue > = 2 and corresponding eigenvector v = Compute (A²+ 3A)v. Hint. It will help to recall the defining equation for eigenvalues and eigenvectors: Av=Xv. P[] ° [3] ° [3] 2 [2] ° [200] O O O O 2 2arrow_forward
- Answer the following. Show the solution. 2 -2 -4 A = |-2 1 4 51 1. Eigenvalues of matrix A. 2. Determinant of matrix A. 3. Inverse of matrix A. 4. Transpose of matrix Aarrow_forwardIs λ=4 an eigen value of [ 3 0 −12 3 1−3 4 5 ] ? If so, find one corresponding eigen vector?arrow_forward-2 2. Find h in the matrix A = 7 such that the eigenspace for 1 = 7 is one- -1 4 -6 5 7 dimensional. Find h such that the eigenspace for 1=7 is two-dimensional.arrow_forward
- I need this question completed in 10 minutesarrow_forward+ a. Find the eigenvalues of A matrix and the eigenvectors corresponding to these eigenvalues. 3. -1 -1 A--12 0 4. -2 -1 b.Let L:R-R and given by L Prove or disprove that L is a linear xy 料 0 monsarrow_forwardQ.3. By using power method find the dominent eigenvalue and eigenvector for the following -2 -3 matrix. A = ( 6 7 You may start with initial vector xo -(1) =arrow_forward
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