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

If the rank of the matrix 421x5k1631+x is 2 then

A
k=52,x=15
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
k=52,x15
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
k=15,x=52
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C k=52,x15
rank of the matrix 421x5k1631+x is 2

Note: Rank of a matrix is nothing but, no of non-zero rows of a matrix in its echelon form.
applying R3R1+R3

421x5k11052

applying R3R32R2

421x5k1052k0

applying R2R254R1

⎢ ⎢ ⎢421x0k525x14052k0⎥ ⎥ ⎥

rank is 2

k=52 and x15

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