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BITSAT 2023Paper 1

Exam: BITSAT
Year: 2023
Paper: Paper 1
Subject: Mathematics
Chapter: Matrices

BITSAT 2023 · Paper 1 · Mathematics · Matrices

If A=[ array cc 0 & 2 3 & -4 array ] and k A=[ array cc 0 & 3 a 2 b...

If

\mathrm{A}=\left[

\begin{array}{cc}0 & 2 \\ 3 & -4\end{array}

\right] and

k \mathrm{ A}=\left[

\begin{array}{cc}0 & 3 a \\ 2 b & 24\end{array}

\right]

, then the values of

k, a and

b

respectively are:

Options

A $-6,-12,-18$
B $-6,-4,-9$
C $-6,4,9$
D $-6,12,18$

Correct answer

B. $-6,-4,-9$

Step-by-step solution

k A=\left[

\begin{array}{cc}0 & 2 k \\ 3 k & -4 k\end{array}

\right]=\left[

\begin{array}{cc}0 & 3 a \\ 2 b & 24\end{array}

\right]

\Rightarrow \quad k=-6, a=-4

and

b=-9

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