jee-main 2014 Q74

jee-main · India · 19apr Matrices Matrix Algebra and Product Properties

Let $A$ and $B$ be any two $3 \times 3$ matrices. If $A$ is symmetric and $B$ is skew symmetric, then the matrix $AB - BA$ is
(1) skew symmetric
(2) $I$ or $- I$, where $I$ is an identity matrix
(3) symmetric
(4) neither symmetric nor skew symmetric

Let $A$ and $B$ be any two $3 \times 3$ matrices. If $A$ is symmetric and $B$ is skew symmetric, then the matrix $AB - BA$ is\\
(1) skew symmetric\\
(2) $I$ or $- I$, where $I$ is an identity matrix\\
(3) symmetric\\
(4) neither symmetric nor skew symmetric

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