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NDA Math Matrices
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© examsnet.com
Question : 65
Total: 69
From the matrix equation AB = AC, where A, B, C are the square matrices of same order, we can conclude B = C provided
[NDA II 2014]
A is non-singular
A is singular
A is symmetric
A is skew symmetric
Validate
Solution:
A
B
=
A
C
⇒
A
−
1
A
B
=
A
−
1
A
C
⇒
(
A
−
1
A
)
B
=
(
A
−
1
A
)
C
⇒
I
B
=
I
C
⇒
B
=
C
⇒ A must be invertible means non-singular.
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