Consider a skew-symmetric matrix A= a b -b c such that a, b and c are selected from the set S=0, 1, 2, 3,........12. If A is divisible by 3, then the…

Question

Consider a skew-symmetric matrix A= a b -b c such that a, b and c are selected from the set S=0, 1, 2, 3,........12. If A is divisible by 3, then the number of such possible matrices is

MARKS Content Team · Accepted Answer

Correct answer: (B) 5. ∵ A is skew symmetric ⇒a=c=0 A=b^2 ∵A is divisible by 3 ⇒b can be 0,3,6,9,12 (five possibilities)

Consider a skew-symmetric matrix $A = [\begin{array}{l} a & b \\ - b & c \end{array}]$ such that $a, b$ and $c$ are selected from the set $S = \{0, 1, 2, 3, . . . . . . . . 12\} .$ If $|A|$ is divisible by $3$ , then the number of such possible matrices is

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Consider a skew-symmetric matrix A= a b-b c such that a, b and c are selected from the set S=0, 1, 2, 3,........12. If A is divisible by 3, then the number of such possible matrices is

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More Matrices Questions

Consider a skew-symmetric matrix $A = [\begin{array}{l} a & b \\ - b & c \end{array}]$ such that $a, b$ and $c$ are selected from the set $S = \{0, 1, 2, 3, . . . . . . . . 12\} .$ If $|A|$ is divisible by $3$ , then the number of such possible matrices is