Update questions.

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Ceda EI 2020-05-05 06:17:37 +05:30
parent aa6d2c248e
commit db8dcca183
1 changed files with 41 additions and 35 deletions

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@ -9,20 +9,26 @@
\date{05 May, 2020} \date{05 May, 2020}
\maketitle \maketitle
\section{Question 1} \section{Question 1}
\[ If
A = \(
\begin{bmatrix} A =
\begin{bmatrix}
2 & -5 & -1 \\ 2 & -5 & -1 \\
-2 & -1 & 4 -2 & -1 & 4
\end{bmatrix} \end{bmatrix}
B = B =
\begin{bmatrix} \begin{bmatrix}
3 & 4 & 0 \\ 3 & 4 & 0 \\
5 & -2 & 3 5 & -2 & 3
\end{bmatrix} \end{bmatrix}
\] \) find:
\subsection{Part i} \begin{enumerate}
\item $A + B$
\item $2A + B$
\end{enumerate}
\subsection{Part 1}
\[ \[
A + B = A + B =
\begin{bmatrix} \begin{bmatrix}
@ -37,7 +43,7 @@
3 & -3 & 7 3 & -3 & 7
\end{bmatrix} \end{bmatrix}
\] \]
\subsection{Part ii} \subsection{Part 2}
\[ \[
2A + B = 2A + B =
\begin{bmatrix} \begin{bmatrix}
@ -55,20 +61,20 @@
\section{Question 2} \section{Question 2}
\[ If \(
A = A =
\begin{bmatrix} \begin{bmatrix}
1 & 2 & 3 \\ 1 & 2 & 3 \\
4 & 5 & 6 \\ 4 & 5 & 6 \\
7 & 8 & 9 7 & 8 & 9
\end{bmatrix} \end{bmatrix}
B = B =
\begin{bmatrix} \begin{bmatrix}
1 & 0 & 2 \\ 1 & 0 & 2 \\
2 & 1 & 2 \\ 2 & 1 & 2 \\
5 & 2 & 3 5 & 2 & 3
\end{bmatrix} \end{bmatrix}
\] \), find $AB$.
\[ \[
AB = AB =
\begin{bmatrix} \begin{bmatrix}
@ -360,7 +366,7 @@ We know that
1 & 0 1 & 0
\end{vmatrix} \end{vmatrix}
= 1 \times -1 = -1 = 1 \times -1 = -1
\] \]
\[ \[
A^{-1} = \frac{adj.A}{|A|} A^{-1} = \frac{adj.A}{|A|}