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If A be a matrix such that, inverse of 7A is the matrix {bmatr

Question

If $A$ be a matrix such that, inverse of $7 A$ is the matrix $[- 1 4 2 - 7]$ , then $A$ equals

[1421]

[1 2/7 4/7 1/7]

[1241]

[1 4/7 2/7 1/7]

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Luna Discussed

A

be a matrix such that, inverse of

7 A

is the matrix

[- 1 4 2 - 7]

, then

A

equals

15 mins ago

Discuss this question LIVE

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Text solutionVerified

(7 A)^{- 1} = [- 1 4 2 - 7]

\Rightarrow ((7 A)^{- 1})^{- 1} = [- 1 4 2 - 7]^{- 1}

\Rightarrow 7 A = \frac{- 1}{1} [- 7 - 4 - 2 - 1]

\Rightarrow A = \frac{1}{7} [7421]

\Rightarrow A = ⎣ ⎡ 1 \frac{4}{7} \frac{2}{7} \frac{1}{7} ⎦ ⎤

Ans: D

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Question Text	If $A$ be a matrix such that, inverse of $7 A$ is the matrix $[- 1 4 2 - 7]$ , then $A$ equals
Answer Type	Text solution:1
Upvotes	150