Question

B Q.5) If A, B and C are three matrices then: Associative Law defined as (AB) C=A(B; AB = BC BC) O A(B + C) = AB + AC None of these 1 point​

Answer 1

Answer:

Correct option is

B

A is non-singular

Let ∣A∣=0

∴A−1 exists.

Given AB=AC

Now, pre multiplying by A−1 on both sides. we get,

A−1AB=A−1AC

⇒IB=IC

⇒B=C

So, A is non singular.

Option B is correct.

Step-by-step explanation:

Correct option is

B

A is non-singular

Let ∣A∣=0

∴A−1 exists.

Given AB=AC

Now, pre multiplying by A−1 on both sides. we get,

A−1AB=A−1AC

⇒IB=IC

⇒B=C

So, A is non singular.

Option B is correct.

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