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If a is a Square Matrix of Order 3 with |A| = 4 , Then the Write the Value of |-2a| . - Mathematics

Sum

If A is a square matrix of order 3 with |A| = 4 , then the write the value of |-2A| . 

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Solution

Since, order of the matrix, n = 3
|A| = 4 
|-2A| = (-2)n |A|

|-2A| = (-2)3 x 4

|2A| = - 32

Therefore, the value of |- 2A| is -32.

Concept: Types of Matrices
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