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Transpose of a Matrix

Let A= matrix...

Question

Let A= matrix (a11=-1 a12=1 a21=0 a22=-2) is able to express as B+ C where B, C are two matrices then the value of \vert trace of B +trace of C\vert

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A

2 \times 2

A = [a_{i j}]

a_{i j} = {0, 1, 2, 3, 4}

a_{11} + a_{12} + a_{21} + a_{22} = 4

A

A

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 0 2 & 1 & 5 1 & 2 & 1 \end{matrix} ⎤ ⎥ ⎦

a_{11} A_{21} + a_{12} A_{22} + a_{13} A_{23} =

A

B

A B = 30,

B A

2 \times 2

A = [a_{j j}] w h e r e a_{j j} ϵ {0, 1, 2, 3, 4}

a_{11} + a_{12} + a_{21} + a_{22} = 4

A = ⎡ ⎢ ⎣ \begin{matrix} 3 x^{2} 1 6 x \end{matrix} ⎤ ⎥ ⎦, B = [a, b, c]

C = ⎡ ⎢ ⎢ ⎣ \begin{matrix} (x + 2)^{2} & 5 x^{2} & 2 x 5 x^{2} & 2 x & (x + 2)^{2} 2 x & (x + 2)^{2} & 5 x^{2} \end{matrix} ⎤ ⎥ ⎥ ⎦

a, b, c

x \in R

t r . (A B) = t r . (C) \lor x \in R

t r . (A)

A

(a + b + c)

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