If B=[ array lll 3 & 2 & 0 2 & 4 & 0 1 & 1 & 0 array ] , then what is adjoint of B equal to?

Correct answer: A. [ array ccc 0 & 0 & 0 0 & 0 & 0 -2 & -1 & 8 array ] B=[ array lll 3 & 2 & 0 2 & 4 & 0 1 & 1 & 0 array ] C factor matrix of aligned & B=[ array ccc (4)(0)-(0)(1) & -[(2)(0)-(0)(1)] & (2)(1)-(4)(1) -[2(0)-(0)(1)] & 3(0)-(0)(1) & -[(3)(1)-(2)(1)] 2(0)-0(4) & -[3(0)-2(0)] & 3(4)-2(2) array ] & =[ array ccc 0 & 0 & -2 0 & 0 & -1 0 & 0 & 8 array ] & Adjoint B=[ array ccc 0 & 0 & 0 0 & 0 & 0 -2 & -1 & 8 array ] aligned

NDA 2019

Exam: NDA
Year: 2019
Subject: Mathematics
Chapter: Matrices

NDA 2019 · Mathematics · Matrices

If B=[ array lll 3 & 2 & 0 2 & 4 & 0 1 & 1 & 0 array ] , then what...

B=\left[

\begin{array}{lll}3 & 2 & 0 \\ 2 & 4 & 0 \\ 1 & 1 & 0\end{array}

\right]

, then what is adjoint of

B

equal to?

Options

A $\left[$ $\begin{array}{ccc}0 & 0 & 0 \\ 0 & 0 & 0 \\ -2 & -1 & 8\end{array}$ $\right]$
B $\left[$ $\begin{array}{ccc}0 & 0 & -2 \\ 0 & 0 & -1 \\ 0 & 0 & 8\end{array}$ $\right]$
C $\left[$ $\begin{array}{lll}0 & 0 & 2 \\ 0 & 0 & 1 \\ 0 & 0 & 0\end{array}$ $\right]$
DIt does not exist

Correct answer

A. $\left[$ $\begin{array}{ccc}0 & 0 & 0 \\ 0 & 0 & 0 \\ -2 & -1 & 8\end{array}$ $\right]$

Step-by-step solution

B=\left[

\begin{array}{lll}3 & 2 & 0 \\ 2 & 4 & 0 \\ 1 & 1 & 0\end{array}

\right]

C factor matrix of

\begin{aligned} & B=\left[\begin{array}{ccc}(4)(0)-(0)(1) & -[(2)(0)-(0)(1)] & (2)(1)-(4)(1) \\ -[2(0)-(0)(1)] & 3(0)-(0)(1) & -[(3)(1)-(2)(1)] \\ 2(0)-0(4) & -[3(0)-2(0)] & 3(4)-2(2)\end{array}\right] \\ & =\left[\begin{array}{ccc}0 & 0 & -2 \\ 0 & 0 & -1 \\ 0 & 0 & 8\end{array}\right] \\ & \text{Adjoint } B=\left[\begin{array}{ccc}0 & 0 & 0 \\ 0 & 0 & 0 \\ -2 & -1 & 8\end{array}\right]\end{aligned}

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