Assertion (A): Every diagonal element of a skew-symmetric matrix is 0.
Reason (R): For a skew-symmetric matrix, $a_{ii} = -a_{ii}$ .

Both A and R are true, and R is the correct explanation of A.Correct answerYour answerBoth A and R are true, but R is not the correct explanation of A.Correct answerYour answerA is true, but R is false.Correct answerYour answerA is false, but R is true.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Put $j = i$ in $a_{ji} = -a_{ij}$ : $a_{ii} = -a_{ii}$ , so $2a_{ii} = 0$ .
R is true and is exactly why A is true.

Concept: Diagonal of a skew-symmetric matrix
Typical timeTypical: 90 s
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The rule this testsSymmetric and skew-symmetric matrices

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Assertion (A): Every diagonal element of a skew-symmetric matrix is 0.Reason (R): For a skew-symmetric matrix, aii=−aiia_{ii} = -a_{ii}aii​=−aii​.

Explanation

Assertion (A): Every diagonal element of a skew-symmetric matrix is 0.
Reason (R): For a skew-symmetric matrix, $a_{ii} = -a_{ii}$ .