Maths-
General
Easy
Question
Let A, B, C be three square matrices of the same order, such that whenever AB = AC then B = C, if A is -
- singular
- non-singular
- symmetric
- skew-symmetric
The correct answer is: non-singular
If A is non-singular, A–1 exists.
Thus, AB = AC A–1(AB) = A–1 (AC)
(A–1A) B = (A–1 A) C IB = IC
B = C.
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