TS EAMCET · Maths · Matrices
The inverse of the matrix \(\left[\begin{array}{ccc}7 & -3 & -3 \\ -1 & 1 & 0 \\ -1 & 0 & 1\end{array}\right]\) is
- A \(\left[\begin{array}{lll}1 & 1 & 1 \\ 3 & 4 & 3 \\ 3 & 3 & 4\end{array}\right]\)
- B \(\left[\begin{array}{lll}1 & 3 & 1 \\ 4 & 3 & 8 \\ 3 & 4 & 1\end{array}\right]\)
- C \(\left[\begin{array}{lll}1 & 1 & 1 \\ 3 & 3 & 4 \\ 3 & 4 & 3\end{array}\right]\)
- D \(\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & 4 & 3 \\ 1 & 3 & 4\end{array}\right]\)
Answer & Solution
Correct Answer
(D) \(\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & 4 & 3 \\ 1 & 3 & 4\end{array}\right]\)
Step-by-step Solution
Detailed explanation
Let \[ A=\left[\begin{array}{ccc} 7 & -3 & -3 \\ -1 & 1 & 0 \\ -1 & 0 & 1 \end{array}\right] \] Now, \[ \begin{aligned} |A| & =7(1-0)+3(-1-0)-3(0+1) \\ & =1 \end{aligned} \] Cofactors of matrix \(A\) are…
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