| 21. | A nonzero scalar multiple of an identity matrix is called a " scalar " matrix.
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| 22. | The formula defines a translation if and only if " A " is the identity matrix.
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| 23. | The identity matrix of a given size is the only idempotent matrix of that size having full rank.
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| 24. | Where p and q were matrices for location and momentum p, and I is the identity matrix.
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| 25. | Where X ^ 0 is defined to be the identity matrix I with the same dimensions as X.
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| 26. | This is equivalent to saying that " A " times its transpose must be the identity matrix.
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| 27. | An alternative decomposition is into completely polarized ( zero determinant ) and unpolarized ( scaled identity matrix ) components.
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| 28. | However, every identity matrix with at least two rows and columns has an infinitude of symmetric square roots.
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| 29. | In the case of an orthonormalised basis set the overlap matrix, S, reduces to the identity matrix.
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| 30. | The matrix corresponding to this bilinear form ( see below ) on a standard basis is the identity matrix.
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