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Addition and Subtraction of a Matrix

If Tr A =[2+ ...

Question

If Tr(A)=[2+i] then Tr[(2-i)A]=

(This lesson is from matrix not linear programming)

[The lesson matrix doesn't exist in chapter's list above pls refer and add matrix in chapter's list . ]

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Solution

(2-i)A means each element of matrix A is multiplied by (2-i)

Trace is the sum of main diagonal elements of a square matrix.

Tr(A)=2+i
Therefore
Tr(A(2-i) ) = (2-i)(2+i)
=4-i²
=4-(-1)
=5

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I just wanted to get an explanation of the GAIA HYPOTHESIS given on-the-go above chapter's introduction (interaction and existence)..

Q. Observe the following lists :
List - I List - II
A) If A is a singular 1)

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matrix then detA=
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The correct match for list - I from list - II is

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\begin{matrix} L i s t I - ------- - & L i s t I I - -------- - 2 & 3 4 & 5 7 & 6 \end{matrix}

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