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Matrices · Question 85 of 106

Question 85

EasyOriginal question

For what value of xx is [42x−172]\begin{bmatrix} 4 & 2x - 1 \\ 7 & 2 \end{bmatrix} symmetric?

Options for question 85

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. A symmetric matrix equals its transpose, so a12=a21a_{12} = a_{21}.

  2. 2x−1=72x - 1 = 7 gives x=4x = 4.

Worth noting

−3-3 is what the skew-symmetric condition 2x−1=−72x - 1 = -7 would give.

Concept
Unknowns in symmetric and skew-symmetric matrices
Typical time
60 s
Your time
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The rule this testsSymmetric and skew-symmetric matrices
Practise this chapter →

Ten questions from Matrices, at your own pace.

Practise this chapter →

Ten questions from Matrices, at your own pace.