Home › Bihar Board Class 12 (Commerce) › Mathematics › Matrices › In the uniqueness proof of the inverse, what do …
In the uniqueness proof of the inverse, what do we assume at the start?
AMatrix is symmetric
BTwo inverses B and C exist
CIts determinant is one
DIts order is exactly two
Answer & Solution
Correct answer: B. Two inverses B and C exist
The proof assumes two inverses B and C exist, then derives B = C, which shows the inverse cannot differ.
Related questions
For the matrix with rows (1, 2) and (3, 4), A(adj A) equals which matrix?Which pair names the two ways of solving AX = B using matrices?For the method of inversion to solve three equations, what must be true of the coefficientBy the method of inversion, the solution of AX = B is?Three linear equations in x, y and z are written as AX = B. What are the orders of A, X anWhich rows form the coefficient matrix for 2x + 3y = 5 and x - 4y = 9?In the matrix equation AX = B for a system of equations, what does X hold?To find A inverse by elementary steps, what is done to A?