Math, asked by neethgoud, 1 year ago

Let A and B are two square matrices of order 3 ×3 such that |A| = 1, [B] = 3, then the
value of ||A||B|adj(ABA) is​

Answers

Answered by JinKazama1
9

Answer:

243

Step-by-step explanation:

1) We have,

|A| = 1,|B|=3

Since,ABA is 3 x 3 matrix .

Also, We know that,

|adj(ABA)|=|ABA|^{3-1}=|ABA|^2=[|A||B||A|]^2=[3]^2=9

2) Then,

||A||B|adj(ABA)|=|1*3*adj(ABA)|\\=>3^3|adj(ABA)|=3^3*3^2=3^5=243

Hence, Our Required answer is 243.

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