Questions

Fill In The Blanks[1 Marks ]

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10 questions · timed · auto-graded

Question 11 Mark
If A and B are two $3 \times 3$ order square matrix such that $| A |=-1,|B|=3$, then $|3 AB |=$_________
Answer
-81
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Question 21 Mark
If $A =\left[\begin{array}{ll}3 & -4 \\ 1 & -1\end{array}\right]$, then $A ^{-1}=$ _________
Answer
$\left[\begin{array}{ll}-1 & 4 \\ -1 & 3\end{array}\right]$
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Question 41 Mark
If $A$ has 3 order invertible matrix and $|A|=4$, then $|\operatorname{adj}(\operatorname{adj} A )|=$ ________ .
Answer
$4^4$
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Question 51 Mark
If $A =\left[\begin{array}{ll}0 & 3 \\ 2 & 0\end{array}\right]$ and $A ^{-1}=\lambda(\operatorname{adj} A )$, then $\lambda=$ _________
Answer
$-1 / 6$
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Question 61 Mark
If A and B are two $3 \times 3$ order square matrix and $|A|=5,|B|=5$ then $|3 A B|=$ ________ .
Answer
405
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Question 71 Mark
If $A =\left[\begin{array}{cc}3 & -5 \\ 2 & 0\end{array}\right]$ and $B =\left[\begin{array}{cc}1 & 17 \\ 0 & -10\end{array}\right]$, then $| AB |=$ ________ .
Answer
-100
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Question 81 Mark
If A has $3 \times 3$ order square matrix and $| A |=2$, then $\left|- AA ^{ T }\right|=$ ________ .
Answer
-4
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Question 91 Mark
If $A =\left[\begin{array}{ll}\alpha & 2 \\ 2 & \alpha\end{array}\right]$ and $\left| A ^3\right|=125$, then $\alpha=$ __________ .
Answer
$\pm 3$
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Fill In The Blanks[1 Marks ] - MATHS STD 12 Science Questions - Vidyadip