Question

Solve for x in the following matrix equation:


`\left[\begin{array}{cc}10&-12\-14&-12\end{array}\right]` = 2x

a) x =
`\left[\begin{array}{cc}5&-6\-7&-6\end{array}\right]`
b) x =
`\left[\begin{array}{cc}3&4\5&6\end{array}\right]`
c) x =
`\left[\begin{array}{cc}8&-10\-11&-10\end{array}\right]`
d) x =
`\left[\begin{array}{cc}4&3\6&5\end{array}\right]`

Answer 1

The following matrix equation x =
`\left[\begin{array}{ccc}5&-6\\-6&7\\\end{array}\right]`

What is Matrix?

A matrix is a mathematical concept used to organize and manipulate data in a structured way. It is a two-dimensional array of numbers, symbols, or expressions, arranged in rows and columns.

Given
`\left[\begin{array}{ccc}10&-12\\-12&14\\\end{array}\right]` = 2x

Divide through by 2 given the expression

=
`\left[\begin{array}{ccc}10/2&-12/2\\-12/2&14/2\\\end{array}\right]` = 2x/2

`\left[\begin{array}{ccc}5&-6\\-6&7\\\end{array}\right]` = x

Therefore, the following matrix equation x =
`\left[\begin{array}{ccc}5&-6\\-6&7\\\end{array}\right]`