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how to diagonalise a square matrix

how to find characteristics polynomial of matrix(2×2 and 3×3)(short method)without using |A-kI| = O

condition for two spheres to be orthogonal and angle of intersection of two spheres

Positive Definite,Positive SemiDefinite,NegativeDefinite,Negative SemiDefinite,Indefinite Matrix

Rank , Index , Signature of matrix of Quadratic form

diagonalize quadratic form by lagrange methods,its Rank,Index,Signature,canonical form,matrix of L.T

adj(AB) = adj(B).adj(A)

A matrix can be expressed as sum of symmetric and skew symmetric matrix (uniquely)

root2 + root3 is irrational , √2+√3 is irrational number

2root3 + 1 is irrational number ,

Class 10th Ex 2.2 Q 1(ii)

Derivation/Proof of formula for Volume of Square pyramid

x^0 = 1 something raise to the power 0 is 1

Class 10th Ex 2.1 Q 1 ncert all parts

Class 10th Ex 4.3 Q 9 ncert

Class 10th Ex 4.3 Q 10 ncert

Class 10th Ex 1.3 Q 1 ncert prove that root(5) is irrational

Class 10th Ex - 4.3 Q - 8 NCERT

Class 10th Ex 3.5 q4(iv) ncert

Circumcenter , centroid , incenter , orthocenter and relation between them and their properties ,

value of euler number , value of e ,e lies between 2 and 3

escribed circle and centre coordinates

Value of Sin(36°) and Cos(36°) , Sin(54°) and Cos(54°) , Sin(72°) and Cos(72°) trigonometry

Value of Sin(18°) and Cos(18°) trigonometry Sin(pi/10) and Cos(pi/10)

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