If beginbmatrix 2 - 3 - 4 1lendbmatrix bmatrix 18 x - 3 128485 13 - 2 - xlendbmatrix beginbmatrix x 2 0 end bmatrix -0 - then x- 7A- 3B- 35C- -0-3D- -1-3

The correct option is C 53[ 2 amp;3 amp;4; ][ 1 amp;x amp;3; 2 amp;4 amp;5; 3 amp;2 amp;x; ][ x; 2; 0 ]=0 ⇒[ 20 amp;2x+20 a ...

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Transpose of a Matrix

If beginbmatr...

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If $[\begin{matrix} 2 & 3 & 4 \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 1 & x & 3 2 & 4 & 5 3 & 2 & x \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x 20 \end{matrix} ⎤ ⎥ ⎦ = 0$ , then $x =$

\frac{7}{3}

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\frac{5}{3}

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- \frac{5}{3}

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- \frac{7}{3}

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Find x, if [x -5 -1] $⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 2 0 & 2 & 1 2 & 0 & 3 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x 41 \end{matrix} ⎤ ⎥ ⎦ = 0$ .

Compute the indicated products.
$(i) [\begin{matrix} a & b - b & a \end{matrix}] [\begin{matrix} a & - b b & a \end{matrix}]$

$(i i) ⎡ ⎢ ⎣ \begin{matrix} 123 \end{matrix} ⎤ ⎥ ⎦ [234]$

$(i i i) [\begin{matrix} 1 & - 2 2 & 3 \end{matrix}] [\begin{matrix} 1 & 2 & 3 2 & 3 & 1 \end{matrix}]$

$(i v) ⎡ ⎢ ⎣ \begin{matrix} 2 & 3 & 4 3 & 4 & 5 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 3 & 5 0 & 2 & 4 3 & 0 & 5 \end{matrix} ⎤ ⎥ ⎦$

$(v) ⎡ ⎢ ⎣ \begin{matrix} 2 & 1 3 & 2 - 1 & 1 \end{matrix} ⎤ ⎥ ⎦ [\begin{matrix} 1 & 0 & 1 - 1 & 2 & 1 \end{matrix}]$

$(v i) [\begin{matrix} 3 & - 1 & 3 - 1 & 0 & 2 \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 2 & - 3 1 & 0 3 & 1 \end{matrix} ⎤ ⎥ ⎦$

α, β

[125] {[\begin{matrix} 0 & \frac{1}{2} - 1 & \frac{1}{2} \end{matrix}]}^{5} {[\begin{matrix} 1 & - 1 2 & 0 \end{matrix}]}^{10} {[\begin{matrix} 0 & \frac{1}{2} - 1 & \frac{1}{2} \end{matrix}]}^{5} [\begin{matrix} x^{2} - 5 x + 20 x + 2 \end{matrix}] = [40]

(1 - α) (1 - β) - 50

A = ⎡ ⎢ ⎣ \begin{matrix} 5 & 3 & 5 2 & 3 & 8 0 & 3 & 0 \end{matrix} ⎤ ⎥ ⎦,

If A = $[\begin{matrix} 0 & 2 3 & 5 \end{matrix}]$ , B = $⎡ ⎢ ⎣ \begin{matrix} 3 & 4 & 5 2 & 3 & 1 1 & 3 & 7 \end{matrix} ⎤ ⎥ ⎦$ then A + B =

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