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8 questions · timed · auto-graded

Question 11 Mark
Classify the following matrix :
$
\left|\begin{array}{lll}
11 & 3 & 0 \\
21 & 8 & 4 \\
15 & 5 & 2
\end{array}\right|
$
Answer
$
\left|\begin{array}{lll}
11 & 3 & 0 \\
21 & 8 & 4 \\
15 & 5 & 2
\end{array}\right|
$
order $=3 \times 3$
A rectangular matrix of $3 \times 3$
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Question 21 Mark
Classify the following matrix $: \left|\begin{array}{ll} 1 & 1 \\ 0 & 9 \end{array}\right| $
Answer
$ \begin{array}{l} \left|\begin{array}{ll} 1 & 1 \\ 0 & 9 \end{array}\right|  \end{array} $
$ \text { order }=2 \times 2 $
A rectangular matrix of $2 \times 2$.
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Question 31 Mark
Classify the following matrix $: \left|\begin{array}{l} 800 \\ 521 \end{array}\right| $
Answer
$ \left|\begin{array}{l} 800 \\ 521 \end{array}\right| $
$ \text { order }=2 \times 3 $
A rectangular matrix of $2 \times 3$
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Question 41 Mark
Classify the following matrix : $\left[7 0\right]$
Answer
${\left[7 0\right]}$
order $=1 \times 2$
A rectangular matrix of $1 \times 2$.
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Question 51 Mark
If $P = (8 , 5),(7 , 2),$ find $P^t$
Answer
$P=\left|\begin{array}{ll}8 & 5 \\ 7 & 2\end{array}\right|_{2 \times 2} $
$ P^t=\left|\begin{array}{ll}8 & 5 \\ 7 & 2\end{array}\right|_{2 \times 2}$
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Question 61 Mark
Classify the following rnatrix:
$
\left|\begin{array}{ll}
2 & 1 \\
0 & 6 \\
8 & 7
\end{array}\right|
$
Answer
$
\left|\begin{array}{ll}
2 & 1 \\
0 & 6 \\
8 & 7
\end{array}\right|
$
$
\text { order }=3 \times 2
$
A rectangularmatrix of $3 \times 2$
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Question 71 Mark
If $A=\left|\begin{array}{lll}1 & 9 & 4 \\ 5 & 0 & 3\end{array}\right|$ find $A^{\prime}$
Answer
$\begin{aligned} A & =\left|\begin{array}{lll}1 & 9 & 4 \\ 5 & 0 & 3\end{array}\right|_{2 \times 3} \\ A^{\prime} & =\left|\begin{array}{ll}1 & 5 \\ 9 & 0 \\ 4 & 3\end{array}\right|_{3 \times 2}\end{aligned}$
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Question 81 Mark
If $A =\left|\begin{array}{lll}1 & 9 & 4 \\ 5 & 0 & 3\end{array}\right|,$ find negative $A$
Answer
$A=\left|\begin{array}{lll}1 & 9 & 4 \\ 5 & 0 & 3\end{array}\right|_{2 \times 3}$
Negative $A=\left|\begin{array}{ccc}-1 & -9 & -4 \\ -5 & 0 & -3\end{array}\right|_{2 \times 3}$
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[1 Mark Question Answer] - Mathematics STD 10 Questions - Vidyadip