CameraIcon

SearchIcon

MyQuestionIcon

1

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

Determinant

Find the dete...

Question

Find the determinant:
$∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 1 2 & 2 & 2 3 & 1 & 4 \end{matrix} ∣ ∣ ∣ ∣$

A

- 2

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

B

0

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

C

3

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

D

1

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

Open in App

Solution

The correct option is A $- 2$
$\begin{matrix} L e t t h e e r min a n t b e Δ N o w, Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 1 2 & 2 & 2 3 & 1 & 4 \end{matrix} ∣ ∣ ∣ ∣ Δ = 1 ∣ ∣ ∣ \begin{matrix} 2 & 2 1 & 4 \end{matrix} ∣ ∣ ∣ - 2 ∣ ∣ ∣ \begin{matrix} 2 & 2 3 & 4 \end{matrix} ∣ ∣ ∣ + 1 ∣ ∣ ∣ \begin{matrix} 2 & 2 3 & 1 \end{matrix} ∣ ∣ ∣ Δ = 1 (8 - 2) - 2 (8 - 6) + 1 (2 - 6) Δ = 6 - 4 - 4 Δ = - 2 H e n c e, o p t i o n A i s c o r r e c t a n s w e r . \end{matrix}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find determinant of

∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 & 2 2 & 1 & 0 3 & 2 & 1 \end{matrix} ∣ ∣ ∣ ∣

Q. Find the determinant:

A = ∣ ∣ ∣ ∣ \begin{matrix} 1 & - 5 & 2 3 & 4 & 1 2 & 3 & - 1 \end{matrix} ∣ ∣ ∣ ∣

Q. Evaluate the determinant :-

∣ ∣ ∣ ∣ \begin{matrix} 3 & - 1 & - 2 0 & 0 & - 1 3 & - 5 & 0 \end{matrix} ∣ ∣ ∣ ∣

Q. Find minor & cofactors of elements '6', '5', '0' & '4' of the determinant

∣ ∣ ∣ ∣ \begin{matrix} 2 & 1 & 3 6 & 5 & 7 3 & 0 & 4 \end{matrix} ∣ ∣ ∣ ∣

Q. The determinant of the matrix given below is

∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} 0 & 1 & 0 & 2 - 1 & 1 & 1 & 3 0 & 0 & 0 & 1 1 & - 2 & 0 & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon