3 0 0 -2 2. Find h in the matrix A = 7 such that the eigenspace for å= 7 is one- -1 0 5 7 4 -6 dimensional. Find h such that the eigenspace for 2=7 is two-dimensional.

Q: a+b 9. Let Aab = b -5 -3a2b-a² (a) Find values of a and b for which this matrix is symmetric. (b)…

A: Step 1:Step 2:Step 3:Step 4:

Q: —2 2 6 -2 -4 C = 1 [−1 1 has two distinct eigenvalues with X₁ < λ₂. The smaller eigenvalue ₁ : = has…

A: Here given matrix as C=-2261-2-4-113

Q: 10. It is known that matrix A 4x4 has the following eigenvalues: 2, =-2, 2, = 1, z =-1, 24 = 2.…

A:

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not…

A:

Q: 1. (9pts) Diagonalize the matrix below by the following steps: 2 2 A: 1 3 -1 eigenvalues are λ = 5,…

A: Step 1: Step 2: Step 3: Step 4:

Q: (d) cation. [11] =2 Write out eigendecomposition of A and verify it with the matrix multipli- m,

A: Eigenvalue decomposition:A=QDQ−1Where the columns of Q are the orthonormal eigenvectors and the…

Q: Find a basis for the eigenspace corresponding to the eigenvalue. 4. 3 -2 A = 9-4 A= 3 -1-3 A basis…

A:

Q: -3 -3 0 0 -3 -3 0 0 0 0 -3 -3 0 0 -3 -3 Find the eigenvalues and an orthonormal basis for each…

A:

Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. -5…

A: Note: Depending on the discriminant b2-4ac of quadratic an equation ax2+bx+c=0 the nature of roots…

Q: ind a basis for the A = 3 eigenspace of 6 6 A -1 1 -2 4 7

A:

Q: 4 2- i 9 A= |2+i 0 3 +i 3- i 7

A: According to the given information, it is required to find the eigenspace of the given matrix.

Q: 6 9 12 15 The matrix M = a b 2. , where a = 14, b = 3.9, c = -2.9, and d = 3, has two distinct real…

A:

Q: 3 0 0 -2 7 2. Find h in the matrix A= such that the eigenspace for A=7 is one- -1 0 4 -6 5 7…

A: Here, the matrix is A=3000-27000h-104-657 and the eigenvalue of the matrix is λ=7.

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not…

A:

Q: 3. The characteristic polynomial of the matrix A = -1 -1 4 -1 -1 -1 4 is (A − 2)(x - 5)². a) Find…

A: