If A - beginbmatrix 182 13 - 4lend bmatrix - B - bmatrix a - 0 10 - bend bmatrix - a- b epsilon N- then number of matrix - B - such that A B-B A areA- 1B- finitely manyC- 0D- infinite

The correct option is D infiniteAB=[ a amp; 2b; 3a amp; 4b ],BA=[ a amp; 2a; 3b amp; 4b ] AB=BA ⇒ a=b ...

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Inverse of a Matrix

If A = beginb...

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If A= $[\begin{matrix} 1 & 2 3 & 4 \end{matrix}], B = [\begin{matrix} a & 0 0 & b \end{matrix}], a, b ϵ N,$ then number of matrix ‘B’ such that AB = BA are

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finitely many

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infinite

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A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}], B = [\begin{matrix} a & 0 0 & b \end{matrix}]

ϵ

A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]

B = [\begin{matrix} a & b c & d \end{matrix}]

c \neq 0

\frac{a - d}{3 b - c}

A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]

B = [\begin{matrix} a & b c & d \end{matrix}]

c \neq 0

\frac{a - d}{3 b - c}

A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}] and B = [\begin{matrix} a & 0 0 & b \end{matrix}], a, b, ϵ N .

A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]

B = A = [\begin{matrix} a & b c & d \end{matrix}]

c \neq 0

\frac{a - d}{3 b - c}

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