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Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesSymmetric & Skew Symmetric MatricesMedium2 minQB

MathematicsMediumsingle choice

Let invertible $A, B$ be order 3 matrices with $det (B) = 2$ and $A^{T} det (A) B = A det (B) B^{T}$ . If $B$ is symmetric, which statement is incorrect?

Options:

Answer:

Solution:

A, B and D follow from transpose and inverse identities. No condition guarantees C; it need not be symmetric.

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

⏱ 2mℹ️ Source: QB

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