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

The number of 3×3 metrices A whose entries are either 0 or 1 and for which the system A=xyz=100 has exactly two distinct solution is?

A
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
291
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
168
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 0
Let A=a1b1c1a2b2c3a3b3c3
where ai,bi and ci have values 0 or 1
for i=1,2,3
Then, the given system is equivalent to
a1x+b1y+c1z=1
a2x+b2y+c2z=0
a3x+b3y+c3z=0
which represent three distinct planes. But three planes cannot intersect at two distinct points, therefore no such system exists.
Hence, the correct answer.

1197408_1242632_ans_d0c3f6cb424e4af6ac298bc8356cc14e.png

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Vector Product
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon