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Maths (commerce) Fil in The blanks.

Matrices (p-1) · Maharashtra Board STD 12 Commerce / Arts (MSBSHSE - English Medium). 10 questions.

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Question 11 Mark
If $A =\left[\begin{array}{ll}2 & 1 \\ 1 & 1\end{array}\right]$ and $A ^{-1}=\left[\begin{array}{cc}1 & -1 \\ x & 2\end{array}\right]$, then $x =$__________
Answer
-1
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Question 31 Mark
If $A=\left[a_{i j}\right]_{m \times m}$ is non-singular matrix, then $A^{-1}=\frac{1}{\ldots \ldots} \operatorname{adj}(A)$.
Answer
$| A |$
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Question 41 Mark
If $A=\left[\begin{array}{cc}3 & -5 \\ 2 & 5\end{array}\right]$, then cofactor of $a _{12}$ is____________
Answer
$-2$
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Question 51 Mark
If $A =\left[ a _{ ij }\right]_{2 \times 3}$ and $B =\left[ b _{ ij }\right]_{ m \times 1}$, and $AB$ is defined, then $m =$____________
Answer
3
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Question 61 Mark
Matrix $B =\left[\begin{array}{ccc}0 & 3 & 1 \\ -3 & 0 & -4 \\ p & 4 & 0\end{array}\right]$ is a skew-symmetric, then value of $p$ is__________________
Answer
-1
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Question 71 Mark
If $A =\left[\begin{array}{ll}4 & x \\ 6 & 3\end{array}\right]$ is a singular matrix, then $x$ is_____________
Answer
2
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Question 81 Mark
Order of matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 5 & 1 & 8\end{array}\right]$ is______________
Answer
$
2 \times 3
$
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Question 91 Mark
If $a_1 x+b_1 y=c_1$ and $a_2 x+b_2 y=c_2$, then matrix form is $\left[\begin{array}{ll} \cdots & \cdots \\ \cdots & \cdots \end{array}\right]\left[\begin{array}{l} x \\ y \end{array}\right]=\left[\begin{array}{l}
\cdots \\ \cdots \end{array}\right]$
Answer
$\left[\begin{array}{ll} a_1 & b_1 \\ a_2 & b_2 \end{array}\right]\left[\begin{array}{l} x \\ y \end{array}\right]=\left[\begin{array}{l} c_1 \\ c_2 \end{array}\right]$
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