The value of the determinant Abegin vmatrix 1 - 0 - 1 a -1 -a-1 11b -a - b-a-1lend vmatrix depends onA- neither a nor bB- only bC- both a and bD- only a

The correct option is A neither a nor bD = 1 amp;0 amp;1 a amp; 1 amp;a 1 b amp; a amp;b a 1 c_3 → c_3 c_1 1 amp;0 amp;0 ...

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

Determinant

The value of ...

Question

The value of the determinant $∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 & 1 a & - 1 & a - 1 b & - a & b - a - 1 \end{matrix} ∣ ∣ ∣ ∣$ depends on

only a

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

only b

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

neither a nor b

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

both a and b

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

Open in App

Solution

Suggest Corrections

Similar questions

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & a & a^{2} - b c 1 & b & b^{2} - c a 1 & c & c^{2} - a b \end{matrix} ∣ ∣ ∣ ∣ ∣

\neq

∣ ∣ ∣ ∣ \begin{matrix} a & a + 1 & a - 1 - b & b + 1 & b - 1 c & c - 1 & c + 1 \end{matrix} ∣ ∣ ∣ ∣ + ∣ ∣ ∣ ∣ ∣ \begin{matrix} a + 1 & b + 1 & c - 1 a - 1 & b - 1 & c + 1 (- 1)^{n + 2} a & (- 1)^{n - 1} b & (- 1)^{n} c \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 / a & b c & a^{3} 1 / b & c a & b^{3} 1 / c & a b & c^{3} \end{matrix} ∣ ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & a & a^{2} - b c 1 & b & b^{2} - c a 1 & c & c^{2} - a b \end{matrix} ∣ ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ \begin{matrix} 1 & a & b c 1 & b & c a 1 & c & a b \end{matrix} ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & a & a^{2} 1 & b & b^{2} 1 & c & c^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

Join BYJU'S Learning Program