wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the matrix ∣ ∣13λ+22483510∣ ∣ is singular, then λ=

A
-2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
-4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 4
|A|=0 as the matrix A is singular
|A|=∣ ∣13λ+22483510∣ ∣=0
Apply R2R22R1 and R3R33R1 and expand.
2(43λ)+4(42λ)=0
82λ=0λ=4
For λ=4, the second and the third column are proportional.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon