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Recent questions tagged fitb

If A is symmetric matrix, then B'AB is ________ .

asked Dec 24, 2012 by sreemathi.v

1 answer

If A and B are symmetric matrices,then $\quad AB-BA\;is\;a\;\text{_______}$

asked Dec 24, 2012 by sreemathi.v

1 answer

If A is skew symmetric, then kA is a __________. (k is any scalar).

asked Dec 24, 2012 by sreemathi.v

1 answer

If A and B are square matrices of the same order,then $\quad (AB)'=\text{________}.$

asked Dec 24, 2012 by sreemathi.v

1 answer

If A is a skew symmetric matrix, then $A^2$ is a ____________ .

asked Dec 24, 2012 by sreemathi.v

1 answer

If A is a symmetric matrix, then $A^3$ is a _________ matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

Matrix multiplication is __________ over addition.

asked Dec 24, 2012 by sreemathi.v

1 answer

A matrix which is not a square matrix is called a __________ matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

The product of any matrix by the scalar ____________ is the null matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

The negative of a matrix is obtained by multiplying it by

asked Dec 24, 2012 by sreemathi.v

1 answer

Sum of two skew symmetric matrices is always ____________ matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

________________ matrix is both symmetric and skew symmetric matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

The value of $\cot^{-1}(-x)$ for all $x\;\in\;R$ in terms of $\cot^{-1}x$ is ____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The result $\tan^{-1}x-\tan^{-1}y=\tan^{-1}\bigg(\Large {\frac{x-y}{1+xy}}\normalsize \bigg)$ is true when value of xy is _____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

If $y=2\tan^{-1}x+\sin^{-1}\frac{2x}{1+x^2}$ for all x,then _< y < ___.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of expression $\tan\bigg(\Large \frac{\sin^{-1}x+\cos^{-1}x}{2} \normalsize\bigg),when\;x=\frac{\sqrt 3}{2}$ is _______________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\cos(\sin^{-1}x+\cos^{-1}x),|x|\leq 1$ is _____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\cos^{-1}\bigg(\cos\frac{14\pi}{3}\bigg)$ is _____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The principal value of $ \tan^{-1}\sqrt 3 $ is _______________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The set of values of $\sec^{-1}\big(\frac{1}{2}\big)$ is ______________.

asked Dec 21, 2012 by sreemathi.v

1 answer

If $\cos(\tan^{-1}x+\cot^{-1}\sqrt 3)=0,$then the value of $x$ is _______________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\sin^{-1}\bigg(\sin\frac{3\pi}{5}\bigg)$ is ________________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The principal value of $\cos^{-1}\bigg(-\Large {\frac{1}{2}}\normalsize \bigg)$ is_____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

If $f(x)=(4-(x-7)^3\},then\;f^{-1}(x)$=____________.

asked Dec 20, 2012 by sreemathi.v

1 answer

Let $f:R \rightarrow R$ be defined by $f(x)=\Large {\frac{x}{\sqrt{1+x^2}}}$.Then ( f o f o f )(x)=____________.

asked Dec 20, 2012 by sreemathi.v

1 answer

Let f={(1,2)(3,5),(4,1)} and g={(2,3),(5,1),(1,3)}.Then g o f =_ and f o g=.

asked Dec 19, 2012 by sreemathi.v

1 answer

Let the relation R be defined on the set A={1,2,3,4,5}by R={$(a,b):\mid a^2-b^2 \mid <\;8.Then\;R\;is\;given\;by$______________.

asked Dec 19, 2012 by sreemathi.v

1 answer

Let the relation R be defined in N by aRb if 2a+3b=30.Then R=___________________

asked Dec 19, 2012 by sreemathi.v

1 answer

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