If `A` and `B` are invertible matrices, which of the following statement is not correct. `a d j\ A=|A|A^(-1)` (b) `det(A^(-1))=(detA)^(-1)` (c) `(A+B)^(-1)=A^(-1)+B^(-1)` (d) `(A B)^(-1)=B^(-1)A^(-1)`

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, B, C are invertible matrices, then (ABC)^(-1) =

If A; B are invertible matrices of the same order; then show that (AB)^-1 = B^-1 A^-1

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 Aa n dB are symmetric and commute, then which of the following is/are symmetric? A^(-1)B b. A B^(-1) c. A^(-1)B^(-1) d. none of these

If A and B are invertible matrices of order 3 |A|=2 and |(AB)^(-1)|=-(1)/(6) find |B|.

For non-singular square matrix A ,\ B\ a n d\ C of the same order then, (A B^(-1)C)^(-1)= (a) A^(-1)B C^(-1) (b) C^(-1)B^(-1)A^(-1) (c) C B A^(-1) (d) C^(-1)\ B\ A^(-1)

Prove that: (a+b+c)/(a^(-1)\ b^(-1)+b^(-1)\ c^(-1)+c^(-1)a^(-1))=a b c

Which of the following matrices have eigen values as 1 and -1 ? (a) [(0,1),(1,0)] (b) [(0,1),(1,0)] (c) [(1,0),(0,-1)] (d) [(1,0),(0,1)]

If (log)_3x=a and (log)_7x=b , then which of the following is equal to (log)_(21)x ? a b (b) (a b)/(a^(-1)+b^(-1)) 1/(a+b) (d) 1/(a^(-1)+b^(-1))