Fill In The Blanks[1 Marks ]

Question 11 Mark

If $A =\left[\begin{array}{cc}1 & 3 \\ -2 & 5\end{array}\right]$ and $B =\left[\begin{array}{ll}2 & 4 \\ 3 & 2\end{array}\right]$, then $A - B =$ ________

Answer

$\left[\begin{array}{cc}-1 & -1 \\ -5 & 3\end{array}\right]$

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Question 21 Mark

Additive inverse of matrix $\left[\begin{array}{rr}-1 & 2 \\ 0 & -4 \\ 3 & 1\end{array}\right]$ is ________

Answer

$\left[\begin{array}{cc}1 & -2 \\ 0 & 4 \\ -3 & -1\end{array}\right]$

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Question 31 Mark

If $A+B=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ and $A-2 B=\left[\begin{array}{cc}-1 & 1 \\ 0 & -1\end{array}\right]$, then $A$ $=$ _______

Answer

$A=\left[\begin{array}{ll}1 / 3 & 1 / 3 \\ 2 / 3 & 1 / 3\end{array}\right]$

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Question 41 Mark

If $A =\left[\begin{array}{ccc}0 & a & 1 \\ -1 & b & 1 \\ -1 & c & 0\end{array}\right]$ has a skew symmetric matrix, then value of $(a+b+c)^2$ ________

Answer

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Question 51 Mark

If $\left[\begin{array}{lll}3 & -2 & 0\end{array}\right]\left[\begin{array}{c}2 \\ k \\ -5\end{array}\right]=0$, then value of $k$ is _________

Answer

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Question 61 Mark

If A has a skew symmetric matrix then $A ^2$ has ________ matrix.

Answer

symmetric

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Question 71 Mark

If A has a symmetric matrix then $B ^{ T } AB$ has ________ matrix.

Answer

symmetric

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Question 81 Mark

$\left[\begin{array}{c}1 \\ -1 \\ 2\end{array}\right]\left[\begin{array}{lll}2 & 1 & -1\end{array}\right]=$ _________

Answer

$\left[\begin{array}{ccc}2 & 1 & -1 \\ -2 & -1 & 1 \\ 4 & 2 & -2\end{array}\right]$

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Question 91 Mark

If $A =\left[\begin{array}{lll}3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3\end{array}\right]$, then $A ^4=$ _________ .

Answer

$3^4 I_3$

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Question 101 Mark

If $A =\left[\begin{array}{cc}x & 1 \\ -1 & -x\end{array}\right]$, satisfy the equation $A ^2=0$, then $x$ $=$ __________ .

Answer

$\pm 1$

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Question 111 Mark

If $A =\left[\begin{array}{cc}\frac{1}{3} & 2 \\ 0 & 2 x-3\end{array}\right], B =\left[\begin{array}{cc}3 & 6 \\ 0 & -1\end{array}\right]$ and $AB = I$, then $x=$ __________ .

Answer

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Question 121 Mark

If $A =\left[\begin{array}{ccc}-1 & 2 & 3 x \\ 2 y & 4 & -1 \\ 6 & 5 & 0\end{array}\right]$ has symmetric matrix, then value of $2 x+y$ is __________ .

Answer

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Maths Fill In The Blanks[1 Marks ]

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