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CBSE Class 12 · 2018 · MatricesVery Short Answer

If the matrix

A = 02 b a 01 - 3 - 1 0

is skew symmetric, find the values of

a

and

b

.

Answer: $a = - 2, b = 3$

Solution

A skew-symmetric matrix satisfies

a_{ij} = - a_{j i}

(and zero diagonal, already true here).

a = - a_{21} = - 2, b = - a_{13} = - (- 3) = 3.

(The pair

a_{23} = - 1, a_{32} = 1

is consistent.)

a = - 2, b = 3

CBSE Class 12 Board · 2018 · Subjective

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