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Q- If A is a square matrix of order 2 and |A| = -5 , then find the value of |3.A| And |3.A^{T}|

^{n}|A| where n is the order of the matrix . Also we know that from the properties of determinants that if you interchange the rows and columns of a determinant ,the value of the determinant remains the same . This in other words mean |A| = |A

^{T}|.

So now given that n = 2 , |A| = -5

So |3A| = |3A

^{T}| = 3

^{2}|A| = 9 x -5 = -45.

Hope that helps.

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