2. Suppose that you are told the matrix c – 26 с 2b — а A = 36 —а — 26 + 2с b а+2b [3 2 1]". has an eigenvalue of 6 with corresponding eigenvector v = (i) Determine the values of a, b, and c. 6, and A3 = 3. Find an eigenvector of w of (ii) corresponding to the eigenvalue X3 = 3. The eigenvalues of A are A1 = \2

Q: and for each eigenvalue, give a suitable eigenvector.

A: We have to find eigenvalue and eigenvector.

Q: A is a real 3 x 3 matrix with eigenvalues 1,1,3. Consider the following statements (1) the equation…

A: Since A has Eigenvalues 1, 1, 3 hence given matrix is non-singular. i) Since A is non-singular, Ax =…

Q: Suppose that A is a 3 x 3 matrix with the following properties: 4 -5 is an eigenvector for A…

A: Given that A is a 3×3 matrix with the following properties :  u = 4-5-1 is an eigenvector for A…

Q: Suppose that a 5 x 5 matrix A has eigenvalues > −3,-, 1,2,4. Compute det(A). ==

A: Suppose that a 5×5 matrix A has eigenvalues λ=-3, 12, 1, 2, 4. To compute detA.

Q: Suppose A SAS1, then the eigenvector matrix of A + 41 is %3D O a S+ 41 Ob. S OcS+I d. S-41

A: We will find the diagonal matrix corresponding to the matrix, A+4I

Q: ₁ = [₁] and √₂ = [1] ₁ A is a 2 x 2 matrix with eigenvectors V₁ Find A⁹x. 131075 256 A³x = 131069…

A:

Q: .. For one of these matrices, V = -2 is an eigenvector. Find the matrix with this eigenvector. [1 2…

A:

Q: If u1= then A(01+02) = and A(-201) = and 2 = Gl are eigenvectors of a matrix A corresponding to the…

A:

Q: 3. Find a matrix that has eigenvalues of = 3, –4 and corresponding eigenvalues v = -3

A:

Q: Suppose that the trace of a 2 x 2 matrix A is tr(A) = = 0, and the determinant is det(A) = -49. Find…

A: Given that the trace of a 2 * 2 matrix A is tr(A) = 0 and the determinant is det(A) = -49. Find the…

Q: Find the matrix A of the quadratic form associated with the equation. 3x²8xy - 3y² + 6 = 0 A = Find…

A: We find the matrix A from the associate quadratic equation. And the find the eigen value by equating…

Q: Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized…

A:

Q: 4. Find the eigenvalues of the matrix B = 1 3

A: The eigen values of a matrix A is the roots of the characteristic polynomial of the matrix. The…

Q: Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 4i and corresponding eigenvector * = [-…

A: We have to determine the fundamental set of solutions for x' = Ax for given eigen value and…

Q: A 2x2 matrix is known to have the eigenvalues -3 and 4. What are the eigenvalues of the following…

A: We will find out the required value.

Q: Suppose matrix A is symmetric and has eigenvalues X₁ = 7 and X₂ = 2. The corresponding eigenvectors…

A:

Q: 21 2i with vi = -4 + 5i and = -2i with U2 -4 – 5i Write the general real solution for the linear…

A:

Q: Suppose A is a real symmetric matrix whose eigenvalues are A₁ = 1, A2 3, and X3 ei = Find A. A = = 9…

A:

Q: A be a 3 x 3 matrix with eigenvalues M_i and corresponding linearly independent eigenvectors xi, i =…

A:

Q: 6. Assume that a 3 × 3 matrix A has three eigenvalues A₁, A2 and λ3. If A₁ = A₂ = 2, A3 = 6 and the…

A: Given that a 3 × 3 matrix A has three eigenvalues  , and . If 2 , 6 and the trace of A is 5 + x.We…

Q: If A has A₁ =3 with eigenvector x₁ = XAX¹ to find A. H] No other matrix has the same A's and x's. A:…

A:

Q: 5. Find a 3x3 symmetric matrix that has eigenvalues A₁ = 1, A₂ = 3, A3 = 5 and corresponding = (-¹).…

A: Given : λ1 =1 , λ2=3 , λ3=5          : K1=1-11  , K2=10-1  , K3=121 To Find : Symmetric Matrix

Q: The matrix T has eigenvalues and eigenvectors: • v = 1 with A =1. -1 1 with = 0. • V3 with A- Sive…

A:

Q: 3 are eigenvectors of a matrix A corresponding to the eigenvalues A1 = -5 and A2 = 6, respectively,…

A:

Q: ) Siya Kolisi found this matrix M =2 1 p0 1 q0 2 0.(a) Find p, q if122 is an eigenvector of…

A: Step 1: Step 2: Step 3: Step 4:

Q: Suppose that the trace of a 2 x 2 matrix A is tr(A) = -14, and the determinant is det(A) smaller…

A: Let A be a square matrix,  then The trace of A is the sum of eigenvalues and The determinant of A is…

Q: 2 1 -1 -1 4 -1 1 2 = 1 -1 0 -1 1 -1 0 -1 1 300 0 -1 -1 020 -1 −1 −1 003 -1 -1 0

A: if a matrix A is diagonalized it can be written as  A=PDP-1 where D is the diagonal matrix formed by…

Q: Suppose A is a matrix with eigenvalues A1 = 1, A, = 2, A3 = -3, with corresponding eigenvectors v1…

A: Given: A is a matrix with eigenvalues λ1=1, λ2=2, λ3=-3 with corresponding eigenvectors v1=001,…

Q: Find the 2x2 matrix B given its eigenvalues = 1 and 2=3 and the corresponding eigenvectors v₁=(-1,1)…

A: For a matrix B ,if λ is an eigen value and  X is the corresponding eigen vector then    BX = λX

Q: 3. Suppose Un1= A U, is a matrix difference equation which describes discreet population changes…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 2. Consider the quadratic form Q(r)=-6s²-10st-61². (i) Find the corresponding symmetric matrix. (ii)…

A: According to the guideline only three subpart can be answered. Please post other questions…