If the matrix A = (\table 0,a,-3;2,0,-1;b,1,0) is skew ...

CBSE Class 12 Math 2018 Solved Paper

Question : 2 of 29

Marks: +1, -0

If the matrix A =

(\table 0,a,-3;2,0,-1;b,1,0)

is skew symmetric, find the values of 'a' and 'b'

Solution:

Given that A =

(\table 0,a,-3;2,0,-1;b,1,0)

is skew symmetric matrix
⇒

A^T

= - A
⇒

[\table 0,a,-3;2,0,-1;b,1,0]^T

= -

[\table 0,2,b;a,0,1;-3,-1,0]

⇒

[\table 0,2,b;a,0,1;-3,-1,0]

[\table 0,-a,3;-2,0,1;-b,-1,0]

∴ By equality of Matrices,
a = - 2 and b = 3

Go to Question:

Prev Question

Next Question