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The matrix A satisfying the equation [ {matrix}1 &3 0 &1 {

Question

The matrix A satisfying the equation $[1031] A = [10 1 - 1]$ is

[1 - 1 40]

[11 - 4 0]

[10 - 2 - 1]

none of these

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The matrix A satisfying the equation

[1031] A = [10 1 - 1]

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Text solutionVerified

[1031] A = [10 1 - 1]

Let

P = [1031], Q = [10 1 - 1]

P A = Q

\Rightarrow A = P^{- 1} Q

We have

P = [1031]

∣ P ∣ = 1

Now

a d j P = C^{T} = [1 - 3 01]^{T}

\Rightarrow a d j P = [10 - 3 1]

Hence,

P^{- 1} = [10 - 3 1]

So,

A = [10 - 3 1] [10 1 - 1]

\Rightarrow A = [10 4 - 1]

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Question Text	The matrix A satisfying the equation $[1031] A = [10 1 - 1]$ is
Answer Type	Text solution:1
Upvotes	150