Mar 30, 2024 · I also tried using different block matrix formulae, but I ended up with the same problem. I wanted to ask if there was maybe a better more efficient way of finding the eigenvalues using some …

Apr 19, 2021 · The fastest way to compute the eigenvalues in this case is to recognize that this matrix is a rank 1 update of a multiple of the identity matrix.

Apr 27, 2018 · I know that you can find the eigenvalues by finding the $\det (A-\lambda \cdot I)$, but it seems to me that the computation will be rather difficult to compute as it is a $4 \times 4$ matrix.

Apr 26, 2016 · Calculate eigenvalues and eigenvector for given 4x4 matrix? Ask Question Asked 9 years, 9 months ago Modified 4 years, 10 months ago

Jan 5, 2020 · Suppose if a matrix is given as $$ \begin {bmatrix} 4 & 6\\ 2 & 9 \end {bmatrix}$$ We have to find its eigenvalues and eigenvectors. Can we first apply elementary row operation .

Feb 13, 2022 · 0 HINT:For finding determinant of those matrix whose size is bigger than $3 \times 3$ , remember that the determinant of upper (or lower) triangular matrix is equal to product of the …

Aug 9, 2014 · The numbers in your matrix are kind of large for hand calculation, so why do you think it is a good representative example of what could be on the exam? Is it taken from a real exam review or …

Jan 21, 2020 · Why can't I then find the values of $\lambda$ for which this yields the null matrix? Why do I have to do $$\det (\lambda I_n -A)=0$$ instead? I think that to get a null vector you don't have to …

Jan 26, 2015 · Determine a matrix knowing its eigenvalues and eigenvectors Ask Question Asked 11 years ago Modified 1 year, 10 months ago

You have a $4n \times 4n$ matrix, so you expect $4n$ eigenvalues (with multiplicities accounted separately). The eigenvalues will be indeed the eigenvalues of the original submatrices.