Matrix arithmetic Problem set B Answers

1. (a) 4 × 2
2. (b) 1 × 5
3. (c) 3 × 3

1. (a) \(\begin{pmatrix}-2 & 3 \\ 4 & -1\end{pmatrix}\)
2. (b) \(\begin{pmatrix}1 & -2.5 \\ 0.5 & 3\end{pmatrix}\)

1. (a) \(\begin{pmatrix}0 & 4 \\ 5 & -1\end{pmatrix}\)
2. (b) \(\begin{pmatrix}-6 & 8 \\ 3 & -9\end{pmatrix}\)
3. (c) Cannot be done: the orders are different (2 × 2 and 2 × 3).
4. (d) \(\begin{pmatrix}12 & -8 \\ 4 & 16\end{pmatrix}\)
5. (e) \(\begin{pmatrix}15 & -18 \\ -5 & 22\end{pmatrix}\)
6. (f) \(\begin{pmatrix}-1.5 & 3 \\ 2 & -2.5\end{pmatrix}\)

1. (a) \(x = 7,\; y = 6\)
2. (b) \(x = 6,\; y = 12\) or \(x = -6,\; y = -12\)

\(S - D + R = \begin{pmatrix}15 & 5 & 12 \\ 5 & 13 & 18\end{pmatrix}\)

\(1.08\begin{pmatrix}45 & 80 \\ 62 & 95\end{pmatrix} = \begin{pmatrix}48.6 & 86.4 \\ 66.96 & 102.6\end{pmatrix}\)

\(\begin{pmatrix}13 & 14 & 14 \\ 12 & 11 & 13\end{pmatrix}\). The first team: 41 against 36.

\(p = 2,\; q = 3\)

\(s = 2,\; b = -1.5,\; t = 7,\; a = 3\)