wiz-icon
MyQuestionIcon
MyQuestionIcon
6
You visited us 6 times! Enjoying our articles? Unlock Full Access!
Question

The matrix X for which [1432]X=[16672], is

A
[2431]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
621122
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
[16672]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
⎢ ⎢152531015⎥ ⎥
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 621122
Let, A=[1432] and B=[16672]

Then the matrix equation is AX=B
|A|=[1432]=2+12=10(0)
So A is an invertible matrix. Also,
adjA=[2431]
So,
A1=1|A|adjA=110[2431]

Now, AX=B
A1(AX)=A1B
(A1A)X=A1B
IX=A1B
X=A1B
X=110[2431][16672]=[6211/22]

flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon