A college planned expenditures (in lakh rupees) on Library, Sports and Laboratory for…

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

A college planned expenditures (in lakh rupees) on Library, Sports and Laboratory for three semesters as

A=\begin{pmatrix}10 & 12 & 15\\ 8 & 9 & 11\\ 14 & 13 & 10\end{pmatrix}.

The actual expenditures were

B=\begin{pmatrix}11 & 14 & 12\\ 7 & 10 & 13\\ 15 & 12 & 9\end{pmatrix},

and the college later received an additional grant

C=\begin{pmatrix}1 & 0 & 2\\ 0 & 1 & 0\\ 2 & 1 & 1\end{pmatrix}.

Find the matrix that represents the excess of

(B+C)

over

A

. (a)

\begin{pmatrix}-2 & -2 & 1\\ 1 & -2 & -2\\ -3 & 0 & 0\end{pmatrix}

(b)

\begin{pmatrix}1 & 2 & -3\\ -1 & 1 & 2\\ 1 & -1 & -1\end{pmatrix}

(c)

\begin{pmatrix}2 & 2 & -1\\ -1 & 2 & 2\\ 3 & 0 & 0\end{pmatrix}

(d)

\begin{pmatrix}2 & 2 & -1\\ -1 & 2 & 2\\ 3 & 1 & 0\end{pmatrix}