Question-1 :-
Using the property of determinants and without expanding, prove that:
Question-2 :-
Using the property of determinants and without expanding, prove that:
Question-3 :-
Using the property of determinants and without expanding, prove that:
Question-4 :-
Using the property of determinants and without expanding, prove that:
Question-5 :-
Using the property of determinants and without expanding, prove that:
Question-6 :-
Using the property of determinants and without expanding, prove that:
Question-7 :-
Using the property of determinants and without expanding, prove that:
Question-8 :-
Using the property of determinants, prove that:
(i)![]()
(ii)![]()
Question-9 :-
Using the property of determinants, prove that:
Question-10 :-
Using the property of determinants, prove that:
(i)![]()
(ii)![]()
Question-11 :-
Using the property of determinants, prove that:
(i)![]()
(ii)![]()
Question-12 :-
Using the property of determinants, prove that:
Question-13 :-
Using the property of determinants, prove that:
Question-14 :-
Using the property of determinants, prove that:
Question-15 :-
Let A be a square matrix of order 3 × 3, then |kA| is equal to
(A) k|A| (B) k²|A| (C) k3|A| (D) 3k|A|
A is a square matrix of order 3 × 3.The correct answer is C.
Question-16 :-
Which of the following is correct
(A) Determinant is a square matrix.
(B) Determinant is a number associated to a matrix.
(C) Determinant is a number associated to a square matrix.
(D) None of these
We know that to every square matrix, A = [aij] of order n. We can associate a number called the determinant of square matrix A, where aij = (i, j)th element of A. Thus, the determinant is a number associated to a square matrix. The correct answer is C.