Matrix Addition

Add the following matrices


1.

\left(\begin{matrix} 1 & 3 & 2 \\ 6 & 1 & 3 \end{matrix}\right) + \left(\begin{matrix} 1 & 3 & 5 \\ 7 & 2 & 4 \end{matrix}\right) = ?

Solution:
\\[3mm] \left(\begin{matrix} 1 + 1 & 3 + 3 & 2 + 5 \\ 6 + 7 & 1 + 2 & 3 + 4 \end{matrix}\right)

Answer:
\\[3mm] \left(\begin{matrix} 2 & 6 & 7 \\ 13 & 3 & 7 \end{matrix}\right)


2.

\left(\begin{matrix} 5 \\ 9 \end{matrix}\right) + \left(\begin{matrix} 1 \\ 7 \end{matrix}\right) = ?

Solution:
\\[3mm] \left(\begin{matrix} 5 + 1 \\ 1 + 7 \end{matrix}\right)

Answer:
\\[3mm] \left(\begin{matrix} 7 \\ 16 \end{matrix}\right)


3.

\left(\begin{matrix} 0 & -1 \\ 2 & 5 \end{matrix}\right) + \left(\begin{matrix} 2 & 7 \\ 9 & 7 \end{matrix}\right) = ?

Solution:
\\[3mm] \left(\begin{matrix} 0 + 2 & -1 + 7 \\ 2 + 9 & 5 + 7 \end{matrix}\right)

Answer:
\\[3mm] \left(\begin{matrix} 2 & 6 \\ 11 & 12 \end{matrix}\right)


4.

\left(\begin{matrix} 0 & -1 \\ 2 & 5 \end{matrix}\right) + \left(\begin{matrix} 2 & 7 & 1 \\ 9 & 7 & 8 \end{matrix}\right) = ?

no solution

Answer:

Not possible to add. Matrices are different sizes.



Multiply the following matrices

5.

\left(\begin{matrix} 1 & 7 \\ 2 & 4 \end{matrix}\right) \times \left(\begin{matrix} 3 & 3 \\ 5 & 2 \end{matrix}\right) = ?

Solution:
\\[3mm] \left(\begin{matrix} (1)(3) + (7)(5) & (1)(3) + (7)(3) \\ (2)(3) + (5)(4) & (2)(3) + (4)(2) \end{matrix}\right)

Answer:
\\[3mm] \left(\begin{matrix} 38 & 17 \\ 26 & 14 \end{matrix}\right)




Question Content