Integrals with Radicals
2026ReferenceSergey
Reference table of indefinite integrals of expressions containing square roots and other radicals.
0
260
Search results for “square roots”
40 results
Determinant
2026TheorySergey
The determinant of a square matrix — its meaning, minors and cofactors, Laplace expansion, and computation methods.
0
190
Inverse Matrices
2026TheorySergey
Nonsingular matrices, the invertibility criterion, the adjugate-matrix formula, and the Gauss–Jordan method.
0
120
Matrix Rank
2026TheorySergey
Minors and the rank of a matrix, invariance of rank under elementary transformations, and a practical method for computing it.
0
190
Cramer's Rule and Gaussian Elimination
2026TheorySergey
Two methods for solving a SLAE — Cramer's rule via determinants and the universal Gaussian elimination method, with examples.
0
250
Properties of Determinants
2026TheorySergey
The basic properties of determinants with brief proofs, and their use in simplifying computations.
0
260
Basic Operations on Matrices
2026TheorySergey
Addition, scalar multiplication, transposition and multiplication of matrices, along with subtraction, powers, and trace.
0
150
Properties of Matrix Operations
2026TheorySergey
The basic properties of addition, scalar multiplication, transposition, and multiplication of matrices, with justifications.
0
180
Determinant via Permutations
2026TheorySergey
The direct definition of a determinant via permutations: inversions, parity, and a sum of n! terms.
0
170
Linear Dependence and Independence of Rows
2026TheorySergey
Linear dependence and independence of the rows of a matrix, the criterion via a linear combination, and the connection to rank.
0
560