Logical Matrix

Algebra Level 3

If A A and B B are two square matrices of the second order such that ∣ A ∣ = − 1 |A| =-1 and ∣ B ∣ = 3 |B| =3 , then what is the value of ∣ 3 A B ∣ |3AB| ?

-9 None of the above 3 -27

A Former Brilliant Member by A Former Brilliant Member

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1 solution

A and B are square matrices of 2×2 order |A|=-1, |B|= 3

|3AB| = ? we cannot include there value as it is becuase given is that A and B are square matrices , square matrix can be multiplied.

|A| = -1×3 = -3

|B|= 3×3 = 9

square matrix multiplied by 3 because 3 is maultiplier to matrices A&B

|AB| = |A|×|B|

|3AB| = -27...

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Why 3 is multiplied in both cases ???

Kushal Bose - 4 years, 9 months ago

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you know the rules of matrices. eg. you have two mitrices in which 2 is common out for them. 2 (matrix A) × 2 (matrix B) if you wont satisfies the both matrices with multiplier then it will completely wrong. i think you should check the matrices form and rules

A Former Brilliant Member - 4 years, 9 months ago

Thanks for doubt. you understand what i mean to tell you about matrices,it is a different case of multiplier.

A Former Brilliant Member - 4 years, 9 months ago

Because of two matrices 3 is multiplied to A and B matrix

A Former Brilliant Member - 4 years, 9 months ago

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