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NDA 2010

Exam: NDA
Year: 2010
Subject: Mathematics
Chapter: Matrices

NDA 2010 · Mathematics · Matrices

Let A=( array ccc 5 & 6 & 1 2 & -1 & 5 array ) . Let there exist a...

Let

A=\left(

\begin{array}{ccc}5 & 6 & 1 \\ 2 & -1 & 5\end{array}

\right)

. Let there exist a matrix

B

such that

\mathrm{AB}=\left(

\begin{array}{ll}35 & 49 \\ 29 & 13\end{array}

\right)

. What is B equal to?

Options

A $\left($ $\begin{array}{lll}5 & 1 & 4 \\ 2 & 6 & 3\end{array}$ $\right)$
B $\left($ $\begin{array}{lll}2 & 6 & 3 \\ 5 & 1 & 4\end{array}$ $\right)$
C $\left($ $\begin{array}{ll}5 & 2 \\ 1 & 6 \\ 4 & 3\end{array}$ $\right)$
D $\left($ $\begin{array}{ll}2 & 5 \\ 6 & 1 \\ 3 & 4\end{array}$ $\right)$

Correct answer

C. $\left($ $\begin{array}{ll}5 & 2 \\ 1 & 6 \\ 4 & 3\end{array}$ $\right)$

Step-by-step solution

The correct answer is option (C).

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