Linear Algebra - Diagonalization of Symmetric Matrices

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In this video, we look at diagonalizing a symmetric matrix.
  1. Arnold Yim
  2. Linear Algebra
  3. Orthogonal Diagonalization
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Комментарии
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Did you make a mistake? when I search online orthogonal matrix satisfy A(inverse)=A(transpose) which means you don't need to further normalize

winkywinky
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I have a task to find the diagonal matrix with congruent transformation. The symmetric matrix i have has zeros in the diagonal and i don't know if i can add second row to first row and then second column to first column. And please tell me for finding canonical form of a matrix is there a certain diagonal matrix i should get or it can be different diagonal matrix depending on the congruent transformations i do. Every example i saw has a certain algortithm wgere in the first step you use first row to make zeroa in first row and column but now with the zero i can't do that.

Natasha-wvxu
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2:29 how did he find the vector [(1, 2, 1)] ??

rubenmatton
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Very pragmatic. Perhaps a dumb question, but must a matrix be symmetric to be diagonalized?

jacobvandijk
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how to get the span of those null space?

zakiibrahim