If A = [a ij ] is a square matrix of order n × n and k is a scalar, then | kA | =

Mathematics · JEE Main · NTA Exams — Matrices and Determinants

1. kⁿ | A |
2. k | A |
3. kn^–1 | A |
4. none of these

Answer

(A) k n | A |

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• If every element of a third order determinant of value ∆ is multiplied by 5, then the value of new…
• If the system of equations x - ky - z = 0 kx - y - z = 0 x + y - z = 0 has a non-zero solution, then possible…
• If A= [ array ccc 2 & -2 & -4 -1 & 3 & 4 1 & -2 & x array ] is an idempotent matrix then x is :
• The rank of matrix, A= [ array rrrr 3 & 3 & -1 & -1 1 & -1 & -2 & -4 3 & 1 & 3 & -2 6 & 3 & 0 & -7 array ] is…
• Given a, b, c are in A.P. Then determinant | array lll x+1 & x+2 & x+a x+2 & x+3 & x+b x+3 & x+4 & x+c array…
• If A = [ array cc 1 & 2 3 & -5 array ], B = [ array ll 1 & 0 0 & 2 array ] and X is a matrix such that A =…
• If A= [ array cc 1 & -3 2 & k array ] and A^ 2 -4 A+10=A , then k is equal to
• If A is a 3 x 3 skew - symmetric matrix then |A| is given by

More Matrices and Determinants questions · Browse all practice questions