Solve for X. [8 9 −6 3] + 5X = [4 4 6 5]. X = [ ] Read more Read less
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![Solve for X. [8 9 −6 3] + 5X = [4 4 6 5]. X = [ ]](https://www.doubtrix.com/uploads/editor/7922846541kROghmwRrr.png)
![Suppose that the matrix A has the following eigenvalues and eigenvectors: λ1 = 1 with v→1 = [1 0]. and λ2 = −1 with v→2 = [4 1]. Write the solution to the linear system r→′ = Ar→ in the following forms. A. In eigenvalue/eigenvector form: [x(t) y(t)] = c1[ ]et + c2[ ]et B. In fundamental matrix form: [x(t)y(t)] = [ ][c1 c2] C. As two equations: (write "c1" and "c2" for c1 and c2 ) x(t) = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 4v→1 or −3v→2.](https://www.doubtrix.com/uploads/editor/2097591975WwjdwwDMAQ.png)
![Suppose that the matrix A has the following eigenvalues and eigenvectors: λ1 = 1 with v→1 = [1 0]. and λ2 = −1 with v→2 = [4 1]. Write the solution to the linear system r→′ = Ar→ in the following forms. A. In eigenvalue/eigenvector form: [x(t) y(t)] = c1[ ]et + c2[ ]et B. In fundamental matrix form: [x(t)y(t)] = [ ][c1 c2] C. As two equations: (write "c1" and "c2" for c1 and c2 ) x(t) = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 4v→1 or −3v→2.](https://www.doubtrix.com/uploads/editor/6708762412vXMQsPRlrb.png)
![Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b. Then solve the system and write the solution as a vector. A = [1 3 -2 -2 -4 2 5 2 6], b = [4 -2 -13] Write the augmented matrix for the linear system that corresponds to the matrix equation Ax=b. Solve the system and write the solution as vector.](https://www.doubtrix.com/js/ckeditor/filemanager/connectors/php/editor/1700960040-Q5.JPG)
![For the linear system y→′ = [5 6 −3 −4]y→ Find the eigenvalues and eigenvectors for the coefficient matrix. λ1 = , v→1 = [ ], and λ2 = , v→2 = [ ]](https://www.doubtrix.com/uploads/editor/2923912489lUzoacArUI.png)