**Determine a Matrix From Its Eigenvalue â€“ Problems in**

Find the Eigenvalues and Eigenvectors of: A =[ (0,4,0), (-1,-4,0), (0,0,-2) ] Step 1: Find (lambdaI_n-A). (lambdaI_n-A) = lambda[(1,0,0),(0,1,0),(0,0,1)]-[ (0,4,0... These are also called eigenvectors of A, because A is just really the matrix representation of the transformation. So in this case, this would be an eigenvector of A, and this would be the eigenvalue associated with the eigenvector. So if you give me a matrix that represents some linear transformation. You can also figure these things out. Now the next video we're actually going to figure out

**How to find a matrix from its eigenvalues and eigenvectors**

23/11/2011 · how do i find the eigenvalues for each of the eigenvectors given? step by step would be great so i can figure it out for myself. for (a) i got -4 and (c) i got 2 but i …... These are also called eigenvectors of A, because A is just really the matrix representation of the transformation. So in this case, this would be an eigenvector of A, and this would be the eigenvalue associated with the eigenvector. So if you give me a matrix that represents some linear transformation. You can also figure these things out. Now the next video we're actually going to figure out

**Find the eigenvalues and eigenvectors of this matrix**

A matrix with unknown and one of its eigenvalue are given. We determine the unknown and all the eigenvalues of the matrix. We find its characteristic polynomial... 27/03/2011 · Best Answer: To find a matrix 2x2 M, you just need to know what M does to the column vectors (1,0) and (0,1). (If you think for a moment: M applied to the column vector (1,0) is precisely the first column of M, and M applied to the column vector (0,1) is precisely the second column of M.)

**Determine a Matrix From Its Eigenvalue â€“ Problems in**

For matrices that arise as the standard matrix of a linear transformation, it is often best to draw a picture, then find the eigenvectors and eigenvalues geometrically by studying which vectors are not moved off of their line. For a transformation that is defined geometrically, it is not necessary even to compute its matrix to find the eigenvectors and eigenvalues.... 23/11/2011 · how do i find the eigenvalues for each of the eigenvectors given? step by step would be great so i can figure it out for myself. for (a) i got -4 and (c) i got 2 but i …

## How To Find A Matrix From Its Eigenvalues And Eigenvectors

### How to find a matrix from its eigenvalues and eigenvectors

- linear algebra Rotatable matrix its eigenvalues and
- How do you find the eigenvalues and the corresponding
- Determine a Matrix From Its Eigenvalue â€“ Problems in
- How to find a matrix from its eigenvalues and eigenvectors

## How To Find A Matrix From Its Eigenvalues And Eigenvectors

### 16/02/2008 · Now, the significance of the eigenvalues and corresponding eigenvectors is, of course, that A times (x,y) gives m(x,y), where m is a particular eigenvalue and (x,y) is its corresponding eigenvector.

- For matrices that arise as the standard matrix of a linear transformation, it is often best to draw a picture, then find the eigenvectors and eigenvalues geometrically by studying which vectors are not moved off of their line. For a transformation that is defined geometrically, it is not necessary even to compute its matrix to find the eigenvectors and eigenvalues.
- A matrix with unknown and one of its eigenvalue are given. We determine the unknown and all the eigenvalues of the matrix. We find its characteristic polynomial
- less than its algebraic multiplicity is called defective. Eigenvalues, Eigenvectors, and Diagonal-ization Math 240 Eigenvalues and Eigenvectors Diagonalization A defective matrix Find all of the eigenvalues and eigenvectors of A= 1 1 0 1 : The characteristic polynomial is ( 1)2, so we have a single eigenvalue = 1 with algebraic multiplicity 2. The matrix A I= 0 1 0 0 has a one-dimensional null
- We say that a real matrix is rotatable iff after turning it clockwise on $90^{\circ}$ it doesn't change. I'm interesting about eigenvalues and eigenvectors (belonging to non-zero eigenvalues…

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