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Recent questions tagged properties-of-determinants
Questions
If $\omega$ is cube root of unity then $\Delta=\begin{vmatrix}x+1&\omega&\omega^2\\\omega&x+\omega^2&1\\\omega^2&1&x+\omega^2\end{vmatrix}=$
jeemain
math
class12
ch4
determinants
properties-of-determinants
evaluate-determinants
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If $\Delta=\begin{vmatrix}x^n&x^{n+2}&x^{2n}\\1&x^p&p\\x^{n+5}&x^{p+6}&x^{2n+5}\end{vmatrix}=0$ then $p$ is given by
jeemain
math
class12
ch4
determinants
q25
properties-of-determinants
difficult
asked
Nov 26, 2013
by
sreemathi.v
1
answer
If $E(\theta)=\begin{bmatrix}\cos^2\theta&\cos \theta\sin \theta\\\cos \theta\sin\theta&\sin^2\theta\end{bmatrix}$ and $\theta$ and $\phi$ differ by an odd multiple of $\large\frac{\pi}{2}$ then $E(\theta)E(\phi)$ is a
jeemain
math
class12
ch4
determinants
q3
properties-of-determinants
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
Let $\mid x\mid$ represent the greatest integer less than or equal to $x$ then the value of the determinant $\begin{vmatrix}e & \pi & \pi^{2}-6 \\ \pi & \pi^{2}-6 & e \\ \pi^{2}-6 & e & \pi \end{vmatrix}$ is
jeemain
math
class12
ch4
determinants
q2
properties-of-determinants
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
$l,m,n$ are the $p^{th},q^{th}$ and $r^{th}$ terms of a GP and all positive then $\begin{vmatrix}\log l&p&1\\\log m&q&1\\\log n&r&1\end{vmatrix}$ equals
jeemain
math
class12
ch4
determinants
q1
properties-of-determinants
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
For positive numbers $x,y$ and $z$ the numerical value of the determinant $\begin{vmatrix}1 &\log_xy&\log_xz\\\log_yx&1&\log_yz\\\log_zx&\log_zy&1\end{vmatrix}$ is
jeemain
math
class12
ch4
determinants
q3
properties-of-determinants
medium
asked
Nov 21, 2013
by
sreemathi.v
1
answer
The determinant $\begin{vmatrix}a&b&a\alpha+b\\b&c&b\alpha+c\\a\alpha+b&b\alpha+c&0\end{vmatrix}$ is equal to zero if
jeemain
math
ch4
class12
determinants
q31
properties-of-determinants
easy
asked
Nov 20, 2013
by
sreemathi.v
1
answer
The determinant $\begin{vmatrix}xp+y&x&y\\yp+z&y&z\\0 &xp+y&yp+z\end{vmatrix}=0$ if
jeemain
math
ch4
class12
determinants
q18
properties-of-determinants
easy
asked
Nov 20, 2013
by
sreemathi.v
1
answer
Consider the set A of all determinants of order 3 with entries 0 or 1 only.Let B be the subset of A consisting of all determinants with value 1.Let C be the subset of A consisting of all determinants with value -1.Then
jeemain
math
ch4
class12
determinants
q15
properties-of-determinants
easy
asked
Nov 20, 2013
by
sreemathi.v
1
answer
A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the value of determinant chosen is +ve is
jeemain
math
class12
ch4
determinants
easy
properties-of-determinants
asked
Nov 20, 2013
by
sreemathi.v
1
answer
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