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Recent questions tagged elementary-operation-(transformation)-of-a-matrix
Questions
The value of $\begin{vmatrix}a&a+b&a+2b\\a+2b&a&a+b\\a+b&a+2b&a\end{vmatrix}$ is equal to
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If $p\neq a,q\neq b,r\neq c$ and $\begin{vmatrix}p&b&c\\p+a&q+b&2c\\a&b&r\end{vmatrix}=0$ then $\large\frac{p}{p-a}+\frac{q}{q-b}+\frac{r}{r-c}$=
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If $\begin{vmatrix}x+\alpha&\beta&\gamma\\\alpha&x+\beta&\gamma\\\alpha&\beta&x+\gamma\end{vmatrix}=0$ then $4x$ is equal to
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
The roots of the equation $\begin{vmatrix}x-1&1&1\\1&x-1&1\\1&1&x-1\end{vmatrix}=0$ are
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If $a,b,c$ are in A.P with common difference d and $\begin{vmatrix}x+1&x+a&x+b\\x+a&x+b&x+c\\x-b+1&x-1&x-a+c\end{vmatrix}$ has absolute value 2 then d is
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If $f(n)=\begin{vmatrix} n& 1&5\\n^2&2r+1&2r+1\\n^3&3r^2&3r+1\end{vmatrix}$ then $\sum\limits_{n=1}^ r f(n)$ is
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Apr 22, 2014
by
sreemathi.v
1
answer
The repeated factor of $\begin{vmatrix}y+z&x&y\\z+x& z&x\\x+y& y&z\end{vmatrix}$ is
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
medium
asked
Apr 22, 2014
by
sreemathi.v
1
answer
If a point $(x,y)$ moves on a curve and satisfies the equation $\small\begin{vmatrix}a&b&ax+by\\b&c&bx+cy\\ax+by&bx+ay&0\end{vmatrix}=0$ then
jeemain
math
class12
ch3
matrices
q24
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Nov 26, 2013
by
sreemathi.v
1
answer
If $\small\begin{vmatrix}a^2&b^2&c^2\\(a+1)^2&(b+1)^2&(c+1)^2\\(a-1)^2&(b-1)^2&(c-1)^2\end{vmatrix}$ = $k\small\begin{vmatrix}a^2&b^2&c^2\\a&b&c\\1&1&1&\end{vmatrix}$ then the value of $k$ is
jeemain
math
class12
ch3
matrices
q12
elementary-operation-(transformation)-of-a-matrix
medium
asked
Nov 22, 2013
by
sreemathi.v
1
answer
If $f(x)=\begin{vmatrix}1 &x&x+1\\2x&x(x-1)&(x+1)x\\3x(x-1)&x(x-1)(x-2)&(x+1)x(x-1)\end{vmatrix}$ then $f(100)$ is equal to
jeemain
math
ch3
class12
matrices
q23
elementary-operation-(transformation)-of-a-matrix
easy
asked
Nov 20, 2013
by
sreemathi.v
1
answer
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