Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesSymmetric & Skew Symmetric MatricesMedium2 minQB

MathematicsMediumsingle choice

If $B$ is square, $∣ B ∣ = 1$ , and $2 A + B = B^{T} - A^{T}$ , find $∣ A + B ∣$ .

Answer:

Solution:

Transposing and adding the equations gives $A^{T} = - A$ . Then $A + B = B^{T}$ , so $∣ A + B ∣ = ∣ B ∣ = 1$ .

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:Symmetric & Skew Symmetric Matrices

⏱ 2mℹ️ Source: QB

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