STATEMENT - 1: | adj ( adj ( adj A))|= .|A|^ [n-1 |^ 3 , where n is order of matrix A…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
STATEMENT - 1:\(|\operatorname{adj}(\operatorname{adj}(\operatorname{adj} A))|=\left.|A|^{[n-1}\right|^{3}\), where n is order of matrix A.
STATEMENT - 2: \(|\operatorname{adj} \mathbf{A}|=|\mathbf{A}|^{n}\)
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(C) Statement - 1 is true and Statement - 2 is false
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let A= ( array ccr 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ) and 108= ( array lcc 4 & 2 & 2 -5 & 0 & x 1 & -2 &…
- Let A= ( array c - array ),( R) such that A^ 12 = ( array cc 0 & -1 1 & 0 array ) . Then the value of α is:
- If [ array ll 1 & 2 2 & 1 array ] [ array l x y array ]= [ array l 5 4 array ] then
- Solution of x + 3y – 2z = 0 2x – y + 4z = 0 x – 11y + 14z = 0 is
- For how many value(s) of x in the closed interval [-4,-1] , is the matrix [ array ccc 3 & -1+ x & 2 3 & -1 &…
- The system of equations kx + y + z = 1 x + ky + z = k x + y + kz = k 2 has no solution if k equals
- A matrix A = [a i j ] of order 2 × 3 whose elements are such that a i j = i + j is -
- If a, b and c be positive integers and x=c y+b z, y=a z+c x, z=b x+a y , where x, y and z are not all zero…
More Matrices and Determinants questions · Browse all practice questions