Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
Let \(\rm A=\begin{bmatrix}3&-3&4\\\ 2&-3&4\\\ 0&-1&1\end{bmatrix}\)
What is A-1 equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given
⇒ \(adj(A) = \rm \begin{bmatrix}1&-1&0\\\ -2&3&-4\\\ -2&3&-3\end{bmatrix}\)
Now, A-1 = \(\frac{1}{|A|} (Adj(A))\)
= \( \rm \begin{bmatrix}1&-1&0\\\ -2&3&-4\\\ -2&3&-3\end{bmatrix}\)
∴ Option (a) is correct.
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