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01910.0 points Let A be a 3 x 3 matrix with eigenvalues 1, and -2 and...
.3 Suppose the eigenvalues of a 3x3 matrix A are A, 4, , and A 6'...
.3 Suppose the eigenvalues of a 3x3 matrix A are A, 4, , and A 6' %3D with corresponding eigenvectors v,= V2= and v Let -2 -5 6. 11 Find the solution of the equation x Ax, for the specified x, and describe what happens ask-o. 13 Find the solution of the equation X1AX Choose the correct answer below. 4. 1. O A. X=2.(4)* +3. -4 1. 6. -5 -2 -3 O B. X=2.(4)* 0 +3. 1. -5 6. 11...
Let A be a 2x2 matrix with eigenvalues 5 and 3 and corresponding eigenvectors V1 =...
Let A be a 2x2 matrix with eigenvalues 5 and 3 and corresponding eigenvectors V1 = | Let {XK) be a solution of the difference equation asmenn :)--[;)] wywood 11 **+1 = Axx, Xo = a. Computex, = Axo. (Hint: You do not need to know A itself.] b. Find a formula for xk involving k and the eigenvectors V, and V2.
Let A be a 2x2 matrix with eigenvalues 4 and and corresponding eigenvectors V, = and...
Let A be a 2x2 matrix with eigenvalues 4 and and corresponding eigenvectors V, = and v2 Let} be a solution of the difference equation X: 1 -AX. Xo' - a Computex, = Ax (Hint: You do not need to know itselt b. Find a formula for x, involving k and the eigenvectors V, and v2 a x Ax=(Type an integer or simplified fraction for each matrix element) b. xxv.v2 (Type expressions using k as the variable.)
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 7...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 7 0 3 -2 0 -1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (91, 12, 13) = 1, 2, 4 the corresponding eigenvectors X1 = x X2 = X3 =
please solve both 7. [-14 Points] DETAILS LARLINALG8 7.1.019. Find the characteristic equation and the eigenvalues...
please solve both
7. [-14 Points] DETAILS LARLINALG8 7.1.019. Find the characteristic equation and the eigenvalues and corresponding eigenvectors) of the matrix. - (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (11, 12) = -(C) the corresponding eigenvectors X1 = X2 = Need Help? Read It Watch It Talk to a Tutor 8. [0/5 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.1.021. -1 Find the characteristic equation and the eigenvalues and corresponding eigenvectors) of the matrix....
Suppose the eigenvalues of a 3x 3 matrix A are λ1-5 λ2-4 andh"4 with corresponding eigenvectors v...
Suppose the eigenvalues of a 3x 3 matrix A are λ1-5 λ2-4 andh"4 with corresponding eigenvectors v1 = 0 v' 1 and V' -4 Let Cur Atte x,-1-1 | Find the solution or the equation xk + 1 . AXk for the spected xo, and describe what happens as k→00 Find the solution of the equation xx-1 = A4 choose the correct answer below. @a. ½=(5)kl o lli| | | |+2 This c
Suppose the eigenvalues of a 3x 3...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. -4 4-6 (a)...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. -4 4-6 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) A1, ?2, ?3) the corresponding eigenvectors X1 =
Solving 1. Let -Ar, A constant, with real and distinct eigenvalues 3-1 0 2-2 3 A...
Solving 1. Let -Ar, A constant, with real and distinct eigenvalues 3-1 0 2-2 3 A 2 0 0 (a) Find the eigenvalues and the corresponding eigenvectors for the matrix A. (b) Use (a) to write down a fundamental matrix Φ(t) for the system z' = Az, and use Φ(t) to calculate the solution of this system that satisfies the initial condition (0)0
3. Find all the eigenvalues and corresponding eigenspaces for the matrix B = 4. Show that...
3. Find all the eigenvalues and corresponding eigenspaces for the matrix B = 4. Show that the matrix B = 0 1 is not diagonalizable. 0 4] Lo 5. Let 2, and 1, be two distinct eigenvalues of a matrix A (2, # 12). Assume V1, V2 are eigenvectors of A corresponding to 11 and 22 respectively. Prove that V1, V2 are linearly independent.
2 -3 Find the eigenvalues and corresponding eigenvectors for the matrix -2 3 Selected Answer: 21...
2 -3 Find the eigenvalues and corresponding eigenvectors for the matrix -2 3 Selected Answer: 21 = 2, x1 = (-1, 1) 1.2 = 1. 12 = (3, 1) C.
.3 Suppose the eigenvalues of a 3x3 matrix A are A, 4, , and A 6' %3D with corresponding eigenvectors v,= V2= and v Let -2 -5 6. 11 Find the solution of the equation x Ax, for the specified x, and describe what happens ask-o. 13 Find the solution of the equation X1AX Choose the correct answer below. 4. 1. O A. X=2.(4)* +3. -4 1. 6. -5 -2 -3 O B. X=2.(4)* 0 +3. 1. -5 6. 11...
Let A be a 2x2 matrix with eigenvalues 5 and 3 and corresponding eigenvectors V1 = | Let {XK) be a solution of the difference equation asmenn :)--[;)] wywood 11 **+1 = Axx, Xo = a. Computex, = Axo. (Hint: You do not need to know A itself.] b. Find a formula for xk involving k and the eigenvectors V, and V2.
Let A be a 2x2 matrix with eigenvalues 4 and and corresponding eigenvectors V, = and v2 Let} be a solution of the difference equation X: 1 -AX. Xo' - a Computex, = Ax (Hint: You do not need to know itselt b. Find a formula for x, involving k and the eigenvectors V, and v2 a x Ax=(Type an integer or simplified fraction for each matrix element) b. xxv.v2 (Type expressions using k as the variable.)
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 7 0 3 -2 0 -1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (91, 12, 13) = 1, 2, 4 the corresponding eigenvectors X1 = x X2 = X3 =
please solve both
7. [-14 Points] DETAILS LARLINALG8 7.1.019. Find the characteristic equation and the eigenvalues and corresponding eigenvectors) of the matrix. - (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (11, 12) = -(C) the corresponding eigenvectors X1 = X2 = Need Help? Read It Watch It Talk to a Tutor 8. [0/5 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.1.021. -1 Find the characteristic equation and the eigenvalues and corresponding eigenvectors) of the matrix....
Suppose the eigenvalues of a 3x 3 matrix A are λ1-5 λ2-4 andh"4 with corresponding eigenvectors v1 = 0 v' 1 and V' -4 Let Cur Atte x,-1-1 | Find the solution or the equation xk + 1 . AXk for the spected xo, and describe what happens as k→00 Find the solution of the equation xx-1 = A4 choose the correct answer below. @a. ½=(5)kl o lli| | | |+2 This c
Suppose the eigenvalues of a 3x 3...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. -4 4-6 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) A1, ?2, ?3) the corresponding eigenvectors X1 =
Solving 1. Let -Ar, A constant, with real and distinct eigenvalues 3-1 0 2-2 3 A 2 0 0 (a) Find the eigenvalues and the corresponding eigenvectors for the matrix A. (b) Use (a) to write down a fundamental matrix Φ(t) for the system z' = Az, and use Φ(t) to calculate the solution of this system that satisfies the initial condition (0)0
3. Find all the eigenvalues and corresponding eigenspaces for the matrix B = 4. Show that the matrix B = 0 1 is not diagonalizable. 0 4] Lo 5. Let 2, and 1, be two distinct eigenvalues of a matrix A (2, # 12). Assume V1, V2 are eigenvectors of A corresponding to 11 and 22 respectively. Prove that V1, V2 are linearly independent.
2 -3 Find the eigenvalues and corresponding eigenvectors for the matrix -2 3 Selected Answer: 21 = 2, x1 = (-1, 1) 1.2 = 1. 12 = (3, 1) C.
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