CBSE Class 12 Math 2018 Solved Paper

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Question : 2
Total: 29
If the matrix A = (
0a−3
20−1
b10
)
is skew symmetric, find the values of 'a' and 'b'
Solution:  
Given that A = (
0a−3
20−1
b10
)
is skew symmetric matrix
⇒ AT = - A
⇒ [
0a−3
20−1
b10
]
T
= - [
02b
a01
−3−10
]

⇒ [
02b
a01
−3−10
]
= [
0−a3
−201
−b−10
]

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