The value of the determinant- beginvmatrix lend vmatrix is

The correct option is B None of these log_n m =ln m/ln n Δ = log_a (x/y ) amp; log_a(y/z ) amp; log_a (z/x ) log_b(y/z ) amp;log_b (z/x ) amp; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Evaluation of a Determinant

The value of ...

Question

The value of the determinant
$∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} l o g_{a} (\frac{x}{y}) & l o g_{a} (\frac{y}{z}) & l o g_{a} (\frac{z}{x}) l o g_{b} (\frac{y}{z}) & l o g_{b} (\frac{z}{x}) & l o g_{b} (\frac{x}{y}) l o g_{c} (\frac{z}{x}) & l o g_{c} (\frac{x}{y}) & l o g_{c} (\frac{y}{z}) \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣$ is

$l o g_{a} (x y z) + l o g_{b} (x y z) + l o g_{c} (x y z)$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$a l o g_{e} x + b l o g_{e} y + c l o g_{e} z$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

Suggest Corrections

Similar questions

∣ ∣ ∣ ∣ \begin{matrix} 10! & 11! & 12! 11! & 12! & 13! 12! & 13! & 14! \end{matrix} ∣ ∣ ∣ ∣

Value of the determinant $∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 5 3 & 4 & 5 0 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣ i s$ ___

∣ ∣ ∣ \begin{matrix} 2 & 5 3 & 5 \end{matrix} ∣ ∣ ∣

Write minors and cofactors of elements of following determinants.

$∣ ∣ ∣ \begin{matrix} 2 & - 4 0 & 3 \end{matrix} ∣ ∣ ∣$

$∣ ∣ ∣ \begin{matrix} a & c b & d \end{matrix} ∣ ∣ ∣$

The determinant of the matrix $∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣$ is___

Join BYJU'S Learning Program