Home
Class 12
MATHS
Consider the following statements in res...

Consider the following statements in respect of the matrix `A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}]`
1. The matrix A is skew-symmetric.
2. The matrix A is symmetric.
3. The matrix A is invertible.
Which of the above statements is/are correct ?

Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the following statements in respect of the matrix A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}] I. The matrix A is skew symmetric II. The matrix A is symmetric III. The matrix A is invertible Which of the above statements is/are correct ?

For what value of x, the matrix A=[(0,1,-2),(-1,0,x^(3)),(2,-3,0)] is skew- symmetric .

For what value of x , the matrix A = [(0,1,-2),(-1,0,x^3),(2,-3,0)] is skew symmetric

For what value of x , the matrix A=[{:(0,1,-2),(-1,0,3),(x,-3,0):}] is skew -symmetric matrix ?

Express the matrix A=({:(-3,5,6),(-1,0,1),(2,1,2):}) as the sum of a symmetric and skew-symmetric matrix .

For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-symmetric matrix?

For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-symmetric matrix?

Is the matrix A=[[0,-1,2],[1,0,-3],[-2,3,0]]. symmetric or skew symmetric? Give reasons

Express the matrix A={:[(2,-3,4),(-1,4,3),(1,-2,3)]:} as the sum of a symmetric and a skew symmetric matrix