If A is an invertible matrix then which of the following are true? (A) `A!=0` (B) `|A|!=0` (C) `adjA!=0` (D) `A^-1=|A|adjA`

If A is an invertible matrix, then which of the following is not true (A^2)^-1=(A^(-1))^2 (b) |A^(-1)|=|A|^(-1) (c) (A^T)^(-1)=(A^(-1))^T (d) |A|!=0

If A is an invertible matrix of order 3, then which of the following is not true (a) |a d j\ A|=|A|^2 (b) (A^(-1))^(-1)=A (c) If B A=C A , then B!=C , where B and C are square matrices of order 3 (d) (A B)^(-1)=B^(-1)A^(-1) , where B=([b_(i j)])_(3xx3) and |B|!=0

If A is an invertible square matrix; then adj A^T = (adjA)^T

If a+b gt 0 and c+d gt 0 , which of the following must be true ?

If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A| (C) |A| (D) none of these

If A is an invertible matrix then det(A^-1) is equal to (A) 1 (B) 1/|A| (C) |A| (D) none of these

Let A be a 3xx3 matrix satisfying A^3=0 , then which of the following statement(s) are true (a) |A^2+A+I|!=0 (b) |A^2-A+O|=0 (c) |A^2+A+I|=0 (d) |A^2-A+I|!=0

If A is an invertible matrix of order 2, then det (A^(-1)) is equal to (A) det (A) (B) 1/(det(A) (C) 1 (D) 0

Which of the following statement is true? (a) -7 > -5 (b) -7 0 (d) (-7) - (-5) > 0

If A is an invertible matrix of order 2, then det (A^(-1)) is equal to(a) det (A) (B) 1/(det(A) (C) 1 (D) 0