Identity matrix

What depends on this

83 nodes use this node, directly or through other nodes.

• Singular value decomposition 000NPTMX6J
• Scaling a row scales the determinant 009CY8JXFX
• Leibniz formula for determinants 016PE4VZ8Q
• Determinant of a scalar multiple 01EXSMK864
• Adding a multiple of one row to another preserves the determinant 01ZTQBK64Q
• Similar matrices 027KDW2K72
• Triangularisation 0363JMQ42Y
• Characteristic polynomial 039HF58KQ5
• Determinant of a linear map 03F5KP94K0
• A matrix is invertible iff its determinant is a unit 03Q7RE2HXR
• Rational canonical form 042JWAR3Q0
• Determinant is multiplicative 04CPJ6AF00
• Spectral theorem for normal matrices 04CW1P44VD
• Determinant as signed volume 04X3PR72VJ
• Product of a matrix and its adjugate 0528HKWZ1Z
• Eigenvalues are the roots of the characteristic polynomial 053QVHF6N7
• A matrix is diagonalisable iff it has a basis of eigenvectors 056SW1E0AC
• Laplace expansion along a column 06AMCJMMVM
• One-sided inverse of a square matrix is two-sided 0753Y2X5K6
• Determinant of the inverse 0783S9D0ZH
• Jordan normal form 085HQ5G5TE
• Existence of an eigenvalue over an algebraically closed field 08CJB2NQ92
• Cauchy–Binet formula 08WE2W7DYS
• Minimal polynomial divides the characteristic polynomial 093X6MN6Y6
• Cramer's rule 0977KZ6PQB
• Permuting rows multiplies the determinant by the sign 09YB3WQG38
• Determinant of a matrix exponential 0A1QQN333A
• Rotation matrix 0B9QNFGTHM
• Matrix determinant lemma 0BC3Q6K92H
• Characteristic polynomial of a linear map 0BZ81AJNWF
• Laplace expansion along a row 0C08BQ3M05
• Determinant is the product of the eigenvalues 0C2F40MEBC
• Determinant 0C3CFHDN6R
• Special orthogonal group 0CGYNDCWRR
• Unitary matrix 0D6RMJ10M9
• Spectral theorem for Hermitian matrices 0DGZBQWZWN
• Inverse in terms of the adjugate 0ENVM493VK
• QR decomposition 0ERWG4NXQ9
• Cayley–Hamilton theorem 0F765KFC2J
• Simultaneous diagonalisation 0FK17N4DKA
• Scalar matrix 0FRM62SG7D
• Trace is a coefficient of the characteristic polynomial 0FRYPZ6D0X
• Determinant of a matrix with a zero row 0FS6B46E5T
• Sylvester's determinant theorem 0G24VQ1088
• Adjugate matrix 0GMPYM0NSR
• Rule of Sarrus 0H8SZFFDXJ
• Polar decomposition 0J2C7BDJQA
• Determinant of a block triangular matrix 0J9TVTNB4K
• Determinant of a triangular matrix 0K1KKMFHYH
• Determinant of a matrix with two equal rows 0K4VQB7HWR
• Determinant via the Schur complement 0KA7A4ENVJ
• Determinant of a linear map is the determinant of its matrix 0KMN32XGPF
• Elementary matrix 0M79HRJCRR
• Diagonalisable iff the minimal polynomial has distinct roots 0MPAJRB23T
• Transvection 0NMN00FNW1
• Trace is the sum of the eigenvalues 0NMXDCNNKR
• Equivalent matrices 0P21AVFFSP
• Vandermonde determinant 0P84B554AS
• Determinant is multilinear in the rows 0PPG793642
• Principal axis theorem 0PR5P9Z4KM
• Orientation of a real vector space 0Q8BZXVT1Z
• Cayley–Hamilton theorem for linear maps 0QEM68Y0DE
• Orthogonal matrix 0QRBVFJ50X
• Unitary group 0R9R0Y1HDK
• Inverse of a product 0S4WTRE9GG
• Algebraic multiplicity 0S7A0EMPF4
• Minor 0SD528P0EK
• Determinant is a coefficient of the characteristic polynomial 0T0X8GTYYS
• Orthogonal group 0TKYAEJ8N7
• Powers of a diagonalisable matrix 0TNR9BQ871
• Invertible matrix 0TWTS88TWN
• Characteristic polynomial does not depend on the basis 0TYMASG33Y
• Determinant of a family of vectors in a basis 0V94H674MB
• Special linear group 0V9PMN0RBH
• Companion matrix 0VH1TC1PWF
• Cartan–Dieudonné theorem 0VMWGYY35Q
• Cofactor 0W2QAVJQ1W
• Sylvester's criterion 0WKEF78PMV
• Diagonalisable matrix 0Y17PEKF24
• Distinct eigenvalues imply diagonalisable 0Y95Z7MT02
• Determinant of the identity matrix 0Z4BWARC38
• Determinant of a 2 by 2 matrix 0ZN2J42SK7
• Determinant of a transpose 0ZZQ2E1MTE