PROPERTIES OF MATRICES - Tomzap

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Tom Penick 3/8/2015 Page 1 of 10 PROPERTIES OF MATRICES INDEX adjoint ...................... 4, 5 algebraic multiplicity .... 7 augmented matrix ........ 3 basis ........................ 3, 7 cofactor ....................... 4 coordinate vector ......... 9 Cramer's rule ............... 1 determinant ............. 2, 5 diagonal matrix ............ 6 diagonalizable .............. 8 dimension .................... 6 dot product .................. 8 eigenbasis ................... 7 eigenspace .................. 7 eigenvalue ................... 7 eigenvector.

This method used for 3×3 matrices does not work for larger matrices. a a a − − 11 12 13a a a a 11 12 − 31 a a 32 33 21 a a 22 23 a a 31 21 + + + a 32 a 22 The determinant of a 4×4 matrix can be calculated by finding the determinants of a group of submatrices. Given the matrix D we select any row or column.

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