Question

A quadrilateral has vertices (-5,0), (2,8), (4,-5) and (7,3). Which matrix is the coordinate matrix for the given quadrilateral?

Answer 1

(-5, 2, 4, 7)
0 8 -5 3

The co-ordinates are just rewritten in form of a column vector. This gives a matrix of order 2x4

Answer 2

The matrix that is the coordinate matrix of the given quadrilateral is:

`A.\ \left[\begin{array}{cccc}-5&2&4&7\\0&8&-5&3\end{array}\right]`

Explanation:

We know that the vertices of a quadrilateral are expressed in form of a matrix by placing the vertices along the column of a matrix.

i.e. the vertex A(-5,0) form the first column of a matrix and similarly the vertex B form the second column of the matrix ; C from the third column of the matrix and D form the third column of the matrix.

Hence, the answer is:

Matrix A