Home
Class 12
MATHS
Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then ...

Let `A=[(0,0,-1),(0,-1,0),(-1,0,0)]` Then only correct statement about the matrix A is (A) A is a zero matrix (B) `A^2=1` (C) `A^-1` does not exist (D) `A=(-1)` I where I is a unit matrix

Promotional Banner

Similar Questions

Explore conceptually related problems

Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about the matrix A is (A) A is a zero matrix (B) A^2=I (C) A^-1 does not exist (D) A=(-1) I where I is a unit matrix

If A=[(1,0,0),(0,1,0),(1,b,0] then A^2 is equal is (A) unit matrix (B) null matrix (C) A (D) -A

If matrix A=[(0,-1),(1,0)] , then A^16 =

If A = [(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a null matrix (b) a unit matrix (c) A (d) A

Show that A is a symmetric matrix if A= [ (1,0), (0, -1)]

Statement 1: For a singular square matrix A ,A B=A C B=Cdot Statement 2; |A|=0,t h e nA^(-1) does not exist.

The matrix A=[{:(0,0,2),(0,2,0),(2,0,0):}] is: a) scalar matrix b) diagonal matrix c) square matrix d) none of these

If A=[(0,2,-3),(-2,0,-1),(3,1,0)] then A is (A) diagonal matrix (B) symmetric matix (C) skew symmetric matrix (D) none of these

If I_n is the identity matrix of order n then (I_n)^-1 (A) does not exist (B) =0 (C) =I_n (D) =nI_n

If A=[{:(0,a,1),(-1,b,1),(-1,c,0):}] is a skew-symmetric matrix, then the value of (a+b+c)^(2) is