| 31. | The most immediate case is to apply polynomial functions to a square matrix, extending what has just been discussed.
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| 32. | Here they are overlaid and each generally has complex entries extending to all four corners of the square matrix.
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| 33. | A square matrix has an inverse if and only if its determinant has an inverse in the coefficient ring.
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| 34. | Often these are the square matrix rings, but under certain conditions " infinite matrix rings " are also possible.
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| 35. | For a square matrix, the trace is the sum of the diagonal elements, hence the sum over a common index.
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| 36. | Does anyone know a proof that if A is a square matrix then there's a matrix B s . t.
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| 37. | Moreover, any square matrix with zero trace is unitarily equivalent to a square matrix with diagonal consisting of all zeros.
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| 38. | If, the Macaulay matrix is the Sylvester matrix, and is a square matrix, but this is no longer true for.
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| 39. | Moreover, any square matrix with zero trace is unitarily equivalent to a square matrix with diagonal consisting of all zeros.
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| 40. | There are several techniques for lifting a real function to a square matrix function such that interesting properties are maintained.
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