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Recent questions tagged p84

True or False: If the determinant $\small\begin{vmatrix}x+a & p+u & l+ f\\y+b & q+v & m +g\\z+c & r+w & n + h\end{vmatrix}$ splits into exactly $k$ determinants of order $3$, each element of which contains online term,then the value of $k$ is $8$.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: The determinant $ \begin{vmatrix}\sin A & \cos A & \sin A+\cos B\\\sin B & \cos A & \sin B+\cos B\\\sin C & \cos A & \sin C+\cos B\end{vmatrix}$ is equal to zero

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: $\mid adj A\mid={\mid A\mid}^2$,where A is a square matrix of order two.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: $\begin{vmatrix}x+1 & x+2 & x+a\\x+2 & x+3 & x+b\\x+3 & x+4 & x+c\end{vmatrix}=0,$where a,b,c are in A.P.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: If the value of a third order determinant is 12,then the value of the determinant formed by replacing each element by its co-factor will be 144.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: If A and B are matrices of order 3 and $\mid A\mid=5,\mid B \mid=3,then\mid 3AB\mid=27\times 5\times 3=405$

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: $|\;A^{-1}\;|\neq |\;A\;|^{-1}$,where A is non-singular matrix.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: $(aA)^{-1}= \Large{ \frac{1}{a}}\normalsize A^{-1}$, where $a$ is a any real number and $A$ is a square matrix.

asked Dec 28, 2012 by sreemathi.v

1 answer

True or False: $(A^3)^{-1}=(A^{-1})^3$,where A is a square matrix and $|\;A\;|\neq 0$

asked Dec 28, 2012 by sreemathi.v

1 answer

If $f(x)$ = $\small\begin{vmatrix}(1+x)^{17} & (1+x)^{19} & (1+x)^{23}\\(1+x)^{23} & (1+x)^{29} & (1+x)^{34}\\(1+x)^{41} & (1+x)^{43} & (1+x)^{47}\end{vmatrix}$ = $A+Bx+Cx^2+.....$, then $A$ =

asked Dec 28, 2012 by sreemathi.v

1 answer

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