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PROPERTIES OF MATRICES - Tomzap

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 .. 7 geometric multiplicity .. 7 identity matrix .. 4 image .. 6 inner product .. 9 inverse matrix .. 5 inverse transformation .. 4 invertible .. 4 isomorphism .. 4 kernal .. 6 Laplace expansion by minors .. 8 linear independence.

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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POWER TRANSMISSION AND DISTRIBUTION …

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Tom Penick tomzap@eden.com www.teicontrols.com/notes 05/10/99 Page 1 of 11 POWER TRANSMISSION AND DISTRIBUTION EE368 INDEX attentuation constant.....3

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PHYSICS FORMULAS - Pacific Coast of Mexico

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PHYSICS FORMULAS 2426 Electron = -1.602 19 × 10-19 C = 9.11 × 10-31 kg Proton = 1.602 19 × 10-19 C = 1.67 × 10-27 kg Neutron = 0 C = 1.67 × 10-27 kg 6.022 × 10 23 atoms in one atomic mass unit e is the elementary charge: 1.602 19 × 10-19 C Potential Energy, velocity of electron: PE = eV = ½mv 2 1V = 1J/C 1N/C = 1V/m 1J = 1 N·m = …

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web.mit.edu

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