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Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesProduct of MatricesMedium2 minQB

MathematicsMediumsingle choice

Let $A$ be a 2 × 2 skew-symmetric matrix. Matrix $B$ has Row 1: 1, 4; Row 2: 2, 9. Matrix $C$ has Row 1: 9, -4; Row 2: -2, 1. Then $A (B^{2} C^{2}) A^{T}$ is

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Solution:

Since $BC = I$ , we have $B^{2} C^{2} = I$ , so the expression is $A A^{T}$ , which is symmetric.

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:Product of Matrices

⏱ 2mℹ️ Source: QB

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