If the product of the matrix $$B=264101$$−$$11$$−$$4$$ with a matrix A has inverse $$C=$$−$$101113202$$, then A−$$1=$$

Correct option is 3−3−5−809−72140

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If the product of the matrix $B = [\begin{matrix} 2 & 6 & 4 \\ 1 & 0 & 1 \\ - 1 & 1 & - 4 \end{matrix}]$ with a matrix A has inverse $C = [\begin{array}{ccc} - 1 & 0 & 1 \\ 1 & 1 & 3 \\ 2 & 0 & 2 \end{array}], then A^{- 1} =$

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−3−550914226

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−3−5−809−72140

−3−3−50922146

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detailed solution

Correct option is C

We have (BA)−1=C⇒A−1B−1=C⇒A−1=CB∴A−1=−101113202264101−11−4 =−3−5−809−72140

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If the product of the matrix B=264101−11−4 with a matrix A has inverse C=−101113202, then A−1=

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the product of the matrix $B = [\begin{matrix} 2 & 6 & 4 \\ 1 & 0 & 1 \\ - 1 & 1 & - 4 \end{matrix}]$ with a matrix A has inverse $C = [\begin{array}{ccc} - 1 & 0 & 1 \\ 1 & 1 & 3 \\ 2 & 0 & 2 \end{array}], then A^{- 1} =$