Let A=0−68,B=35−70−186−10 and X=xyz. If D=[ α β γ ]T is the solution of XTBT=AT, then DTA=

A=0−68,B=35−70−186−10 and X=xyzXTBT=ATxyz3065-1-1-780=0-683x+5y-7z-y-z6x-y=0-68

Let A=0−68,B=35−70−186−10 and X=xyz. If D=[ α β γ ]T is the solution of XTBT=AT, then DTA=

A=0−68,B=35−70−186−10 and X=xyzXTBT=ATxyz3065-1-1-780=0-683x+5y-7z-y-z6x-y=0-68

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Let $A = (\begin{array}{l} 0 \\ - 6 \\ 8 \end{array}), B = (\begin{array}{ccc} 3 & 5 & - 7 \\ 0 & - 1 & 8 \\ 6 & - 1 & 0 \end{array})$ and $X = (\begin{array}{l} x \\ y \\ z \end{array})$ . If $D = [α β γ]^{T}$ is the solution of $X^{T} B^{T} = A^{T}, then D^{T} A =$

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Detailed Solution

$A = (\begin{array}{l} 0 \\ - 6 \\ 8 \end{array}), B = (\begin{array}{ccc} 3 & 5 & - 7 \\ 0 & - 1 & 8 \\ 6 & - 1 & 0 \end{array})$ and $X = (\begin{array}{l} x \\ y \\ z \end{array})$

$X^{T} B^{T} = A^{T}$

$[\begin{matrix} x & y & z \end{matrix}] [\begin{matrix} 3 & 0 & 6 \\ 5 & - 1 & - 1 \\ - 7 & 8 & 0 \end{matrix}] = [\begin{matrix} 0 & - 6 & 8 \end{matrix}]$